Edit Profile (opens in new tab) Lu, Guozhen Co-Author Distance Author ID: lu.guozhen Published as: Lu, Guozhen; Lu, Guo Zhen; Lu, G. more...less Homepage: https://www2.math.uconn.edu/~guozhenlu/ External Links: MGP · Wikidata · Google Scholar · GND · IdRef Documents Indexed: 226 Publications since 1991, including 2 Books and 23 Additional arXiv Preprints 8 Contributions as Editor Co-Authors: 102 Co-Authors with 213 Joint Publications 3,173 Co-Co-Authors all top 5 Co-Authors 18 single-authored 37 Lam, Nguyen 29 Chen, Lu 16 Yang, Qiaohua 16 Zhu, Maochun 11 Han, Yongsheng 11 Li, Jungang 11 Tang, Hanli 11 Zhang, Lu 10 Flynn, Joshua 9 Wheeden, Richard Lee 8 Chen, Jiao 8 Wang, Peiyong 8 Zhu, Jiuyi 7 Cohn, William S. 7 Dai, Wei 7 Ding, Wei 6 Franchi, Bruno 6 Han, Xiaolong 5 Tao, Chunxia 5 Zhu, Yueping 4 Lu, Shanzhen 4 Ruan, Zhuoping 4 Wei, Juncheng 4 Yang, Yunyan 4 Zhang, Caifeng 3 Cui, Xiaoyue 3 Do Ó, João M. Bezerra 3 Dong, Mengxia 3 Hong, Qing 3 Huang, Liang 3 Li, Ji 3 Liu, Yongping 3 Ponciano, Raoní 3 Sawyer, Eric T. 3 Wang, Jianxiong 2 Buckley, Stephen M. 2 Chen, Shaohua 2 Ding, Yong 2 Do, Anh Xuan 2 Dong, Yuxin 2 Hart, Jarod V. 2 Koskela, Pekka 2 Manfredi, Juan J. 2 Pérez, Carlos 2 Shen, Yansheng 2 Sheng, Weimin 2 Stroffolini, Bianca 2 Xiao, Yayuan 1 Ahmad, Shair 1 Ambrosetti, Antonio 1 Baldi, Annalisa 1 Bao, Jiguang 1 Burchard, Almut 1 Cazacu, Cristian M. 1 Chanillo, Sagun 1 Chen, Xinfu 1 D’Ambrosio, Lorenzo 1 Dao, Anh Nguyen 1 Dao, Nguyen Anh 1 Ferrari, Fausto 1 Fu, Jixiang 1 Gao, Lingtian 1 Garofalo, Nicola 1 He, Danqing 1 Hofmann, Steve 1 Huang, Qingbo 1 Iosevich, Alex 1 Juutinen, Petri 1 Lanconelli, Ermanno 1 Li, Junfeng 1 Li, Xia 1 Liang, Xining 1 Lin, Chincheng 1 Lin, Yan 1 Liu, Ying 1 Liu, Zongguang 1 Luo, Xiang 1 Ma, Bolin 1 Ma, Xi-Nan 1 Mazumdar, Saikat 1 Miao, Qianyun 1 Minicozzi, William Philip II 1 Mitrea, Dorina 1 Mitrea, Marius 1 Nguyen Tuan Duy 1 Ou, Biao 1 Park, Bae Jun 1 Pipher, Jill Catherine 1 Rabinowitz, Paul Henry 1 Shaw, Mei-Chi 1 Shen, Jiawei 1 Sun, Lijing 1 Wang, Xiaoming 1 Wang, Xumin 1 Wolff, Thomas H. 1 Wu, Xinfeng 1 Xu, Xingwang 1 Xue, Ying 1 Yan, Lixin 1 Yang, Dachun ...and 6 more Co-Authors all top 5 Serials 20 Advanced Nonlinear Studies 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 The Journal of Geometric Analysis 12 Forum Mathematicum 12 Calculus of Variations and Partial Differential Equations 11 Advances in Mathematics 10 Acta Mathematica Sinica. English Series 9 Journal of Functional Analysis 8 Revista Matemática Iberoamericana 7 Journal of Differential Equations 5 Communications on Pure and Applied Analysis 4 Indiana University Mathematics Journal 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 Publicacions Matemàtiques 4 Potential Analysis 3 Mathematische Zeitschrift 3 Communications in Partial Differential Equations 3 Mathematical Research Letters 3 Discrete and Continuous Dynamical Systems 3 Mathematical Sciences Research Hot-Line 2 American Journal of Mathematics 2 Canadian Mathematical Bulletin 2 Memoirs of the American Mathematical Society 2 Differential and Integral Equations 2 Analysis & PDE 2 Advanced Lectures in Mathematics (ALM) 1 Analysis Mathematica 1 Communications on Pure and Applied Mathematics 1 Studia Mathematica 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Journal of Approximation Theory 1 Mathematische Annalen 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Ricerche di Matematica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Approximation Theory and its Applications 1 Constructive Approximation 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 Panamerican Mathematical Journal 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Archive of Applied Mechanics 1 Applied Mathematics. Series B (English Edition) 1 Electronic Journal of Differential Equations (EJDE) 1 Methods and Applications of Analysis 1 Electronic Research Announcements of the American Mathematical Society 1 The Journal of Fourier Analysis and Applications 1 Communications on Applied Nonlinear Analysis 1 Vietnam Journal of Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 European Journal of Mechanics. A. Solids 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Science China. Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Applied and Numerical Harmonic Analysis all top 5 Fields 120 Partial differential equations (35-XX) 88 Functional analysis (46-XX) 85 Harmonic analysis on Euclidean spaces (42-XX) 33 Real functions (26-XX) 20 Topological groups, Lie groups (22-XX) 14 Abstract harmonic analysis (43-XX) 12 Integral equations (45-XX) 10 Potential theory (31-XX) 9 Operator theory (47-XX) 8 Differential geometry (53-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 General and overarching topics; collections (00-XX) 7 Approximations and expansions (41-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Fluid mechanics (76-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 191 Publications have been cited 3,993 times in 1,611 Documents Cited by ▼ Year ▼ Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates. Zbl 1232.42018 Hofmann, Steve; Lu, Guozhen; Mitrea, Dorina; Mitrea, Marius; Yan, Lixin 186 2011 Existence and multiplicity of solutions to equations of \(N\)-Laplacian type with critical exponential growth in \(\mathbb R^N\). Zbl 1236.35050 Lam, Nguyen; Lu, Guozhen 115 2012 A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument. Zbl 1294.46034 Lam, Nguyen; Lu, Guozhen 105 2013 Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander’s condition and applications. Zbl 0804.35015 Lu, Guozhen 100 1992 Best constants for Moser-Trudinger inequalities on the Heisenberg group. Zbl 1019.43009 Cohn, William S.; Lu, Guozhen 98 2001 Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications. Zbl 1278.42033 Lam, Nguyen; Lu, Guozhen 90 2012 Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition. Zbl 1305.35069 Lam, Nguyen; Lu, Guozhen 79 2014 Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality. Zbl 1231.35290 Lu, Guozhen; Zhu, Jiuyi 67 2011 Representation formulas and weighted Poincaré inequalities for Hörmander vector fields. Zbl 0820.46026 Franchi, Bruno; Lu, Guozhen; Wheeden, Richard L. 65 1995 The sharp Poincaré inequality for free vector fields: An endpoint result. Zbl 0860.35006 Lu, Guozhen 62 1994 Inhomogeneous infinity Laplace equation. Zbl 1152.35042 Lu, Guozhen; Wang, Peiyong 61 2008 Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities. Zbl 1387.46034 Lam, Nguyen; Lu, Guozhen; Zhang, Lu 61 2017 Sharp constant and extremal function for the improved Moser-Trudinger inequality involving \(L^p\) norm in two dimension. Zbl 1182.35093 Lu, Guozhen; Yang, Yunyan 57 2009 A relationship between Poincaré-type inequalities and representation formulas in spaces of homogeneous type. Zbl 0856.43006 Franchi, Bruno; Lu, Guozhen; Wheeden, Richard L. 55 1996 Convex functions on the Heisenberg group. Zbl 1072.49019 Lu, Guozhen; Manfredi, Juan J.; Stroffolini, Bianca 51 2004 Adams’ inequalities for bi-Laplacian and extremal functions in dimension four. Zbl 1172.46021 Lu, Guozhen; Yang, Yunyan 47 2009 Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs. Zbl 1282.35393 Lam, Nguyen; Lu, Guozhen; Tang, Hanli 47 2014 A PDE perspective of the normalized infinity Laplacian. Zbl 1157.35388 Lu, Guozhen; Wang, Peiyong 46 2008 Sharp constants for Moser-Trudinger inequalities on spheres in complex space \(\mathbb C^n\). Zbl 1063.35060 Cohn, William S.; Lu, Guozhen 43 2004 Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four. Zbl 1384.46026 Lu, Guozhen; Yang, Qiaohua 43 2017 Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions. Zbl 1402.46026 Li, Jungang; Lu, Guozhen; Zhu, Maochun 43 2018 An overdetermined problem in Riesz-potential and fractional Laplacian. Zbl 1236.31004 Lu, Guozhen; Zhu, Jiuyi 40 2012 Embedding theorems into Lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations. Zbl 0873.35006 Lu, Guozhen 40 1996 \(N\)-Laplacian equations in \(\mathbb R^N\) with subcritical and critical growth without the Ambrosetti-Rabinowitz condition. Zbl 1283.35049 Lam, Nguyen; Lu, Guozhen 40 2013 Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Maz’ya inequalities on half spaces. Zbl 1431.26013 Lu, Guozhen; Yang, Qiaohua 40 2019 Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026 Han, Yongsheng; Lu, Guozhen; Sawyer, Eric 39 2014 Sharp Moser-Trudinger inequalities on hyperbolic spaces with exact growth condition. Zbl 1356.46031 Lu, Guozhen; Tang, Hanli 38 2016 Multilinear Calderón-Zygmund operators with kernels of Dini’s type and applications. Zbl 1290.42039 Lu, Guozhen; Zhang, Pu 38 2014 Best constants for Moser-Trudinger inequalities on high dimensional hyperbolic spaces. Zbl 1294.46035 Lu, Guozhen; Tang, Hanli 38 2013 Fourier analysis and optimal Hardy-Adams inequalities on hyperbolic spaces of any even dimension. Zbl 1402.46025 Li, Jungang; Lu, Guozhen; Yang, Qiaohua 38 2018 Best constants and existence of maximizers for weighted Trudinger-Moser inequalities. Zbl 1364.46026 Dong, Mengxia; Lu, Guozhen 36 2016 Sharp Adams type inequalities in Sobolev spaces \(W^{m,\frac{n}{m}}(\mathbb R^n)\) for arbitrary integer \(m\). Zbl 1259.46029 Lam, Nguyen; Lu, Guozhen 35 2012 Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness. Zbl 1286.42010 Chen, Jiao; Lu, Guozhen 34 2014 Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities. Zbl 1367.26035 Lam, Nguyen; Lu, Guozhen 33 2017 Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions. Zbl 1397.46027 Dong, Mengxia; Nguyen Lam; Lu, Guozhen 32 2018 Boundedness of singular integrals on multiparameter weighted Hardy spaces \(H^p_w(\mathbb R^n \times \mathbb R^m)\). Zbl 1271.42017 Ding, Yong; Han, Yongsheng; Lu, Guozhen; Wu, Xinfeng 32 2012 Polynomials, higher order Sobolev extension theorems and interpolation inequalities on weighted Folland-Stein spaces on stratified groups. Zbl 0973.46020 Lu, Guozhen 31 2000 Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities. Zbl 1421.35008 Lam, Nguyen; Lu, Guozhen; Zhang, Lu 31 2019 A sharp Trudinger-Moser inequality on any bounded and convex planar domain. Zbl 1369.46029 Lu, Guozhen; Yang, Qiaohua 30 2016 Sharpened Adams inequality and ground state solutions to the bi-Laplacian equation in \(\mathbb{R}^4\). Zbl 1397.35097 Chen, Lu; Li, Jungang; Lu, Guozhen; Zhang, Caifeng 30 2018 Best constants for Moser-Trudinger inequalities, fundamental solutions and one-parameter representation formulas on groups of Heisenberg type. Zbl 1011.22004 Cohn, William S.; Lu, Guo Zhen 29 2002 Factorizations and Hardy’s type identities and inequalities on upper half spaces. Zbl 1435.26015 Lam, Nguyen; Lu, Guozhen; Zhang, Lu 29 2019 Existence of nontrivial solutions to polyharmonic equations with subcritical and critical exponential growth. Zbl 1245.35064 Lam, Nguyen; Lu, Guozhen 28 2012 Sharp singular Adams inequalities in high order Sobolev spaces. Zbl 1319.46027 Nguyen Lam; Lu, Guozhen 28 2012 Characterization of balls in terms of Bessel-potential integral equation. Zbl 1229.31005 Han, Xiaolong; Lu, Guozhen; Zhu, Jiuyi 27 2012 On nonuniformly subelliptic equations of \(Q\)-sub-Laplacian type with critical growth in the Heisenberg group. Zbl 1282.35139 Lam, Nguyen; Lu, Guozhen; Tang, Hanli 27 2012 Geometric Hardy’s inequalities with general distance functions. Zbl 1473.35014 Lam, Nguyen; Lu, Guozhen; Zhang, Lu 26 2020 Multi-parameter Triebel-Lizorkin and Besov spaces associated with flag singular integrals. Zbl 1192.42014 Ding, Yong; Lu, Guo Zhen; Ma, Bo Lin 25 2010 Hardy-Littlewood-Sobolev and Stein-Weiss inequalities and integral systems on the Heisenberg group. Zbl 1309.42032 Han, Xiaolong; Lu, Guozhen; Zhu, Jiuyi 25 2012 Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces. Zbl 1359.46035 Lu, Guozhen; Tang, Hanli 25 2016 Infinity Laplace equation with non-trivial right-hand side. Zbl 1194.35194 Lu, Guozhen; Wang, Peiyong 25 2010 Discrete Calderón’s identity, atomic decomposition and boundedness criterion of operators on multiparameter Hardy spaces. Zbl 1193.42090 Han, Y.; Lu, G.; Zhao, K. 25 2010 Multiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous type. Zbl 1275.42035 Han, Yongsheng; Li, Ji; Lu, Guozhen 25 2013 Axial symmetry and regularity of solutions to an integral equation in a half-space. Zbl 1239.45005 Lu, Guozhen; Zhu, Jiuyi 24 2011 Liouville type theorems for PDE and IE systems involving fractional Laplacian on a half space. Zbl 1364.35421 Dai, Wei; Liu, Zhao; Lu, Guozhen 24 2017 Convex functions on Carnot groups. Zbl 1124.49024 Juutinen, Petri; Lu, Guozhen; Manfredi, Juan J.; Stroffolini, Bianca 23 2007 Boman equals John. Zbl 0861.43007 Buckley, S.; Koskela, P.; Lu, Guozhen 23 1996 \(L^{p}\) boundedness of rough bi-parameter Fourier integral operators. Zbl 1381.42024 Hong, Qing; Lu, Guozhen; Zhang, Lu 23 2018 Best constants for Adams’ inequalities with the exact growth condition in \({\mathbb R}^n\). Zbl 1352.46034 Lu, Guozhen; Tang, Hanli; Zhu, Maochun 23 2015 Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators. Zbl 1338.42025 Ding, Wei; Lu, Guozhen 23 2016 A sharp Trudinger-Moser type inequality involving \(L^n\) norm in the entire space \(\mathbb{R}^n\). Zbl 1432.35081 Lu, Guozhen; Zhu, Maochun 23 2019 Boundedness criterion of Journé’s class of singular integrals on multiparameter Hardy spaces. Zbl 1268.42024 Han, Yongsheng; Lu, Guozhen; Ruan, Zhuoping 23 2013 Existence and nonexistence of positive radial solutions for a class of semilinear elliptic systems. Zbl 0934.34011 Chen, Shaohua; Lu, Guozhen 22 1999 A Fefferman-Phong type inequality for degenerate vector fields and applications. Zbl 0878.35050 Lu, Guozhen 22 1996 \(L^p\) estimates for multi-linear and multi-parameter pseudo-differential operators. (Estimations \(L^p\) pour les opérateurs pseudo-différentiels multilinéaires et multiparamètres.) Zbl 1335.47033 Dai, Wei; Lu, Guozhen 22 2015 Hardy spaces associated with different homogeneities and boundedness of composition operators. Zbl 1291.42018 Han, Yongsheng; Lin, Chincheng; Lu, Guozhen; Ruan, Zhuoping; Sawyer, Eric T. 22 2013 Sharp affine and improved Moser-Trudinger-Adams type inequalities on unbounded domains in the spirit of Lions. Zbl 1372.46027 Lam, Nguyen; Lu, Guozhen; Tang, Hanli 22 2017 Multi-parameter local Hardy spaces. Zbl 1418.42038 Ding, Wei; Lu, Guozhen; Zhu, YuePing 22 2019 Duality of multiparameter Hardy spaces \(H^{p}\) on spaces of homogeneous type. Zbl 1213.42073 Han, Yongsheng; Li, Ji; Lu, Guozhen 21 2010 Local and global interpolation inequalities on the Folland-Stein Sobolev spaces and polynomials on stratified groups. Zbl 0910.26007 Lu, Guozhen 21 1997 Duality theory of weighted Hardy spaces with arbitrary number of parameters. Zbl 1298.42025 Lu, Guozhen; Ruan, Zhuoping 21 2014 Singular integrals and commutators on homogeneous groups. Zbl 1026.43007 Lu, Guozhen; Lu, Shanzhen; Yang, Dachun 21 2002 Some equivalent definitions of high order Sobolev spaces on stratified groups and generalizations to metric spaces. Zbl 1007.46034 Liu, Yongping; Lu, Guozhen; Wheeden, Richard L. 21 2002 On a Sobolev inequality with remainder terms. Zbl 0961.35100 Lu, Guozhen; Wei, Juncheng 20 2000 Sharp Adams and Hardy-Adams inequalities of any fractional order on hyperbolic spaces of all dimensions. Zbl 1451.46036 Li, Jungang; Lu, Guozhen; Yang, Qiaohua 20 2020 Existence of extremal functions for the Stein-Weiss inequalities on the Heisenberg group. Zbl 1429.26034 Chen, Lu; Lu, Guozhen; Tao, Chunxia 20 2019 Sharp singular Trudinger-Moser inequalities under different norms. Zbl 1421.35007 Lam, Nguyen; Lu, Guozhen; Zhang, Lu 20 2019 Embedding theorems on Campanato-Morrey spaces for vector fields of Hörmander type. Zbl 0916.46026 Lu, Guozhen 19 1998 High order representation formulas and embedding theorems on stratified groups and generalizations. Zbl 0974.46039 Lu, Guozhen; Wheeden, Richard L. 19 2000 The Moser-Trudinger inequality in unbounded domains of Heisenberg group and sub-elliptic equations. Zbl 1254.35063 Cohn, William S.; Lam, Nguyen; Lu, Guozhen; Yang, Yunyan 19 2012 Symbolic calculus and boundedness of multi-parameter and multi-linear pseudo-differential operators. Zbl 1321.47111 Hong, Qing; Lu, Guozhen 19 2014 Reverse Stein-Weiss inequalities and existence of their extremal functions. Zbl 1418.42041 Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia 19 2018 Embedding theorems on Campanato-Morrey spaces for vector fields and applications. Zbl 0842.46019 Lu, Guozhen 18 1995 On Harnack’s inequality for a class of strongly degenerate Schrödinger operators formed by vector fields. Zbl 0827.35032 Lu, Guozhen 18 1994 Symmetry and regularity of solutions to the weighted Hardy-Sobolev type system. Zbl 1382.35326 Chen, Lu; Liu, Zhao; Lu, Guozhen 18 2016 Sharp Trudinger-Moser inequality and ground state solutions to quasi-linear Schrödinger equations with degenerate potentials in \(\mathbb{R}^n\). Zbl 1479.35264 Chen, Lu; Lu, Guozhen; Zhu, Maochun 18 2021 Some recent works on multiparameter Hardy space theory and discrete Littlewood-Paley analysis. Zbl 1201.42016 Han, Yongsheng; Lu, Guozhen 18 2010 An optimal representation formula for Carnot-Carathéodory vector fields. Zbl 0931.31003 Lu, Guozhen; Wheeden, Richard L. 17 1998 Weighted \(L^{p}\) estimates for rough bi-parameter Fourier integral operators. Zbl 1401.42013 Hong, Qing; Lu, Guozhen 17 2018 A sharpened Moser-Pohozaev-Trudinger inequality with mean value zero in \(\mathbb R^2\). Zbl 1179.58010 Lu, Guozhen; Yang, Yunyan 17 2009 Simultaneous representation and approximation formulas and high-order Sobolev embedded theorems on stratified groups. Zbl 1070.46024 Lu, Guozhen; Wheeden, Richard L. 17 2004 Concentration-compactness principle for Trudinger-Moser’s inequalities on Riemannian manifolds and Heisenberg groups: a completely symmetrization-free argument. Zbl 1486.46039 Li, Jungang; Lu, Guozhen; Zhu, Maochun 17 2021 Singular integrals and weighted Triebel-Lizorkin and Besov spaces of arbitrary number of parameters. Zbl 1261.42030 Lu, Guo Zhen; Zhu, Yue Ping 17 2013 Sub-elliptic global high order Poincaré inequalities in stratified Lie groups and applications. Zbl 1129.22007 Cohn, William S.; Lu, Guozhen; Wang, Peiyong 16 2007 Weighted Poincaré inequalities for Hörmander vector fields and local regularity for a class of degenerate elliptic equations. Zbl 0841.46018 Franchi, B.; Lu, G.; Wheeden, R. L. 16 1995 Existence and size estimates for the Green’s functions of differential operators constructed from degenerate vector fields. Zbl 0798.35002 Lu, Guozhen 16 1992 Discrete Littlewood-Paley-Stein characterization of multi-parameter local Hardy spaces. Zbl 1440.42104 Ding, Wei; Lu, Guozhen; Zhu, Yueping 16 2019 Existence and nonexistence of extremals for critical Adams inequalities in \(\mathbb{R}^4\) and Trudinger-Moser inequalities in \(\mathbb{R}^2\). Zbl 1441.35121 Chen, Lu; Lu, Guozhen; Zhu, Maochun 16 2020 Stein-Weiss inequalities with the fractional Poisson kernel. Zbl 1459.35006 Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia 16 2020 Critical and subcritical Trudinger-Moser inequalities on complete noncompact Riemannian manifolds. Zbl 1482.46040 Li, Jungang; Lu, Guozhen 15 2021 Existence and non-existence of ground states of bi-harmonic equations involving constant and degenerate Rabinowitz potentials. Zbl 1506.35093 Chen, Lu; Lu, Guozhen; Zhu, Maochun 4 2023 Least energy solutions to quasilinear subelliptic equations with constant and degenerate potentials on the Heisenberg group. Zbl 1523.35272 Chen, Lu; Lu, Guozhen; Zhu, Maochun 3 2023 Hardy’s identities and inequalities on Cartan-Hadamard manifolds. Zbl 1505.26031 Flynn, Joshua; Lam, Nguyen; Lu, Guozhen; Mazumdar, Saikat 3 2023 Sharp stability of log-Sobolev and Moser-Onofri inequalities on the sphere. Zbl 1526.46021 Chen, Lu; Lu, Guozhen; Tang, Hanli 3 2023 Existence of extremals for Trudinger-Moser inequalities involved with a trapping potential. Zbl 1514.35181 Chen, Lu; Lu, Guozhen; Zhu, Maochun 2 2023 Improved \(L^p\)-Hardy and \(L^p\)-Rellich inequalities with magnetic fields. Zbl 07785098 Lam, Nguyen; Lu, Guozhen 1 2023 Multi-parameter Hardy spaces theory and endpoint estimates for multi-parameter singular integrals. Zbl 1510.42002 Lu, Guozhen; Shen, Jiawei; Zhang, Lu 1 2023 Green’s functions of Paneitz and GJMS operators on hyperbolic spaces and sharp Hardy-Sobolev-Maz’ya inequalities on half spaces. Zbl 1493.46057 Lu, Guozhen; Yang, Qiaohua 12 2022 Sharp Hardy-Sobolev-Maz’ya, Adams and Hardy-Adams inequalities on the Siegel domains and complex hyperbolic spaces. Zbl 1496.32053 Lu, Guozhen; Yang, Qiaohua 7 2022 \(p\)-Bessel pairs, Hardy’s identities and inequalities and Hardy-Sobolev inequalities with monomial weights. Zbl 1482.42058 Duy, Nguyen Tuan; Lam, Nguyen; Lu, Guozhen 7 2022 Higher order Brezis-Nirenberg problem on hyperbolic spaces: existence, nonexistence and symmetry of solutions. Zbl 1496.35211 Li, Jungang; Lu, Guozhen; Yang, Qiaohua 4 2022 Gagliardo-Nirenberg and Sobolev interpolation inequalities on Besov spaces. Zbl 1491.46022 Dao, Nguyen Anh; Lam, Nguyen; Lu, Guozhen 3 2022 Fefferman type criterion on weighted bi-parameter local Hardy spaces and boundedness of bi-parameter pseudodifferential operators. Zbl 1503.42020 Ding, Wei; Lu, Guozhen 3 2022 Sharp critical and subcritical trace Trudinger-Moser and Adams inequalities on the upper half-spaces. Zbl 1491.35191 Chen, Lu; Lu, Guozhen; Yang, Qiaohua; Zhu, Maochun 2 2022 Bi-parameter trilinear Fourier multipliers and pseudo-differential operators with flag symbols. Zbl 1491.42012 Lu, Guozhen; Pipher, Jill; Zhang, Lu 2 2022 A sharpened form of Adams-type inequalities on higher-order Sobolev spaces \(W^{m,\frac{n}{m}}(\mathbb{R}^n)\): a simple approach. Zbl 1522.46026 Chen, Lu; Lu, Guozhen; Zhu, Maocun 1 2022 Extendability and the \(\overline{\partial}\) operator on the Hartogs triangle. Zbl 1510.32089 Burchard, Almut; Flynn, Joshua; Lu, Guozhen; Shaw, Mei-Chi 1 2022 Gagliardo-Nirenberg type inequalities on Lorentz, Marcinkiewicz and weak-\(L^{\infty}\) spaces. Zbl 1497.46035 Dao, Anh Nguyen; Lam, Nguyen; Lu, Guozhen 1 2022 Hardy-Poincaré-Sobolev type inequalities on hyperbolic spaces and related Riemannian manifolds. Zbl 1509.46024 Flynn, Joshua; Lam, Nguyen; Lu, Guozhen 1 2022 Existence and non-existence of extremals for critical Adams inequality in any even dimension. Zbl 1502.46026 Chen, Lu; Lu, Guozhen; Zhu, Maochun 1 2022 Sharp Trudinger-Moser inequality and ground state solutions to quasi-linear Schrödinger equations with degenerate potentials in \(\mathbb{R}^n\). Zbl 1479.35264 Chen, Lu; Lu, Guozhen; Zhu, Maochun 18 2021 Concentration-compactness principle for Trudinger-Moser’s inequalities on Riemannian manifolds and Heisenberg groups: a completely symmetrization-free argument. Zbl 1486.46039 Li, Jungang; Lu, Guozhen; Zhu, Maochun 17 2021 Critical and subcritical Trudinger-Moser inequalities on complete noncompact Riemannian manifolds. Zbl 1482.46040 Li, Jungang; Lu, Guozhen 15 2021 A critical Trudinger-Moser inequality involving a degenerate potential and nonlinear Schrödinger equations. Zbl 1468.35040 Chen, Lu; Lu, Guozhen; Zhu, Maochun 10 2021 Sharp Hardy identities and inequalities on Carnot groups. Zbl 1479.43012 Flynn, Joshua; Lam, Nguyen; Lu, Guozhen 10 2021 Hörmander Fourier multiplier theorems with optimal regularity in bi-parameter Besov spaces. Zbl 1480.42017 Chen, Jiao; Huang, Liang; Lu, Guozhen 5 2021 Sharpened Trudinger-Moser inequalities on the Euclidean space and Heisenberg group. Zbl 1487.46034 Chen, Lu; Lu, Guozhen; Zhu, Maochun 4 2021 Maximizers for fractional Caffarelli-Kohn-Nirenberg and Trudinger-Moser inequalities on the fractional Sobolev spaces. Zbl 1465.35206 Chen, Lu; Lu, Guozhen; Zhang, Caifeng 3 2021 Hörmander Fourier multiplier theorems with optimal Besov regularity on multi-parameter Hardy spaces. Zbl 1486.42011 Chen, Jiao; Huang, Liang; Lu, Guozhen 2 2021 Geometric Hardy’s inequalities with general distance functions. Zbl 1473.35014 Lam, Nguyen; Lu, Guozhen; Zhang, Lu 26 2020 Sharp Adams and Hardy-Adams inequalities of any fractional order on hyperbolic spaces of all dimensions. Zbl 1451.46036 Li, Jungang; Lu, Guozhen; Yang, Qiaohua 20 2020 Existence and nonexistence of extremals for critical Adams inequalities in \(\mathbb{R}^4\) and Trudinger-Moser inequalities in \(\mathbb{R}^2\). Zbl 1441.35121 Chen, Lu; Lu, Guozhen; Zhu, Maochun 16 2020 Stein-Weiss inequalities with the fractional Poisson kernel. Zbl 1459.35006 Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia 16 2020 Boundedness of multi-parameter pseudo-differential operators on multi-parameter local Hardy spaces. Zbl 1442.42054 Chen, Jiao; Ding, Wei; Lu, Guozhen 11 2020 Ground states of bi-harmonic equations with critical exponential growth involving constant and trapping potentials. Zbl 1467.46033 Chen, Lu; Lu, Guozhen; Zhu, Maochun 10 2020 Boundedness of inhomogeneous Journé’s type operators on multi-parameter local Hardy spaces. Zbl 1440.42052 Ding, Wei; Lu, Guozhen 10 2020 Sharp Hardy-Trudinger-Moser inequalities in any \(N\)-dimensional hyperbolic spaces. Zbl 1462.46040 Liang, Xining; Lu, Guozhen; Wang, Xumin; Yang, Qiaohua 7 2020 Existence of solutions to fractional \(p\)-Laplacian systems with homogeneous nonlinearities of critical Sobolev growth. Zbl 1445.35306 Lu, Guozhen; Shen, Yansheng 5 2020 Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Maz’ya inequalities on half spaces. Zbl 1431.26013 Lu, Guozhen; Yang, Qiaohua 40 2019 Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities. Zbl 1421.35008 Lam, Nguyen; Lu, Guozhen; Zhang, Lu 31 2019 Factorizations and Hardy’s type identities and inequalities on upper half spaces. Zbl 1435.26015 Lam, Nguyen; Lu, Guozhen; Zhang, Lu 29 2019 A sharp Trudinger-Moser type inequality involving \(L^n\) norm in the entire space \(\mathbb{R}^n\). Zbl 1432.35081 Lu, Guozhen; Zhu, Maochun 23 2019 Multi-parameter local Hardy spaces. Zbl 1418.42038 Ding, Wei; Lu, Guozhen; Zhu, YuePing 22 2019 Existence of extremal functions for the Stein-Weiss inequalities on the Heisenberg group. Zbl 1429.26034 Chen, Lu; Lu, Guozhen; Tao, Chunxia 20 2019 Sharp singular Trudinger-Moser inequalities under different norms. Zbl 1421.35007 Lam, Nguyen; Lu, Guozhen; Zhang, Lu 20 2019 Discrete Littlewood-Paley-Stein characterization of multi-parameter local Hardy spaces. Zbl 1440.42104 Ding, Wei; Lu, Guozhen; Zhu, Yueping 16 2019 Reverse Stein-Weiss inequalities on the upper half space and the existence of their extremals. Zbl 1422.42036 Chen, Lu; Lu, Guozhen; Tao, Chunxia 13 2019 Sharp weighted Trudinger-Moser-Adams inequalities on the whole space and the existence of their extremals. Zbl 1421.35099 Chen, Lu; Lu, Guozhen; Zhang, Caifeng 13 2019 Hardy-Littlewood-Sobolev inequalities with the fractional Poisson kernel and their applications in PDEs. Zbl 1418.35008 Chen, Lu; Lu, Guozhen; Tao, Chunxia 11 2019 Sharp maximal estimates for multilinear commutators of multilinear strongly singular Calderón-Zygmund operators and applications. Zbl 1409.42011 Lin, Yan; Lu, Guozhen; Lu, Shanzhen 8 2019 Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions. Zbl 1402.46026 Li, Jungang; Lu, Guozhen; Zhu, Maochun 43 2018 Fourier analysis and optimal Hardy-Adams inequalities on hyperbolic spaces of any even dimension. Zbl 1402.46025 Li, Jungang; Lu, Guozhen; Yang, Qiaohua 38 2018 Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions. Zbl 1397.46027 Dong, Mengxia; Nguyen Lam; Lu, Guozhen 32 2018 Sharpened Adams inequality and ground state solutions to the bi-Laplacian equation in \(\mathbb{R}^4\). Zbl 1397.35097 Chen, Lu; Li, Jungang; Lu, Guozhen; Zhang, Caifeng 30 2018 \(L^{p}\) boundedness of rough bi-parameter Fourier integral operators. Zbl 1381.42024 Hong, Qing; Lu, Guozhen; Zhang, Lu 23 2018 Reverse Stein-Weiss inequalities and existence of their extremal functions. Zbl 1418.42041 Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia 19 2018 Weighted \(L^{p}\) estimates for rough bi-parameter Fourier integral operators. Zbl 1401.42013 Hong, Qing; Lu, Guozhen 17 2018 Hörmander type theorem on bi-parameter Hardy spaces for bi-parameter Fourier multipliers with optimal smoothness. Zbl 1422.42023 Chen, Jiao; Lu, Guozhen 12 2018 Weighted Moser-Onofri-Beckner and logarithmic Sobolev inequalities. Zbl 1392.26029 Lam, Nguyen; Lu, Guozhen 4 2018 Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities. Zbl 1387.46034 Lam, Nguyen; Lu, Guozhen; Zhang, Lu 61 2017 Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four. Zbl 1384.46026 Lu, Guozhen; Yang, Qiaohua 43 2017 Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities. Zbl 1367.26035 Lam, Nguyen; Lu, Guozhen 33 2017 Liouville type theorems for PDE and IE systems involving fractional Laplacian on a half space. Zbl 1364.35421 Dai, Wei; Liu, Zhao; Lu, Guozhen 24 2017 Sharp affine and improved Moser-Trudinger-Adams type inequalities on unbounded domains in the spirit of Lions. Zbl 1372.46027 Lam, Nguyen; Lu, Guozhen; Tang, Hanli 22 2017 Hardy-Sobolev type integral systems with Dirichlet boundary conditions in a half space. Zbl 1369.45005 Dai, Wei; Liu, Zhao; Lu, Guozhen 9 2017 \(\mathrm{L}^p\) estimates for a trilinear pseudo-differential operator with flag symbols. Zbl 1371.42012 Lu, Guozhen; Zhang, Lu 7 2017 Dynamic inversion characteristics of composite reinforced tubes. Zbl 1406.74164 Guo, D.; Fang, C. Q.; Wang, X.; Lu, G. 1 2017 Sharp Moser-Trudinger inequalities on hyperbolic spaces with exact growth condition. Zbl 1356.46031 Lu, Guozhen; Tang, Hanli 38 2016 Best constants and existence of maximizers for weighted Trudinger-Moser inequalities. Zbl 1364.46026 Dong, Mengxia; Lu, Guozhen 36 2016 A sharp Trudinger-Moser inequality on any bounded and convex planar domain. Zbl 1369.46029 Lu, Guozhen; Yang, Qiaohua 30 2016 Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces. Zbl 1359.46035 Lu, Guozhen; Tang, Hanli 25 2016 Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators. Zbl 1338.42025 Ding, Wei; Lu, Guozhen 23 2016 Symmetry and regularity of solutions to the weighted Hardy-Sobolev type system. Zbl 1382.35326 Chen, Lu; Liu, Zhao; Lu, Guozhen 18 2016 Multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integrals and their atomic decomposition. Zbl 1335.42021 Ding, Wei; Lu, Guozhen; Zhu, Yueping 14 2016 Boundedness of multi-parameter Fourier multiplier operators on Triebel-Lizorkin and Besov-Lipschitz spaces. Zbl 1333.42013 Chen, Lu; Lu, Guozhen; Luo, Xiang 14 2016 Polyharmonic equations with critical exponential growth in the whole space \(\mathbb{R}^{n}\). Zbl 1323.35046 Lu, Guozhen; Lam, Nguyen; Bao, Jiguang 11 2016 Bi-parameter and bilinear Calderón-Vaillancourt theorem with subcritical order. Zbl 1351.42028 Lu, Guozhen; Zhang, Lu 7 2016 Hardy space estimates for Littlewood-Paley-Stein square functions and Calderón-Zygmund operators. Zbl 1337.42019 Hart, Jarod; Lu, Guozhen 5 2016 Hardy space estimates for bilinear square functions and Calderón-Zygmund operators. Zbl 1358.42012 Hart, Jarod; Lu, Guozhen 1 2016 Best constants for Adams’ inequalities with the exact growth condition in \({\mathbb R}^n\). Zbl 1352.46034 Lu, Guozhen; Tang, Hanli; Zhu, Maochun 23 2015 \(L^p\) estimates for multi-linear and multi-parameter pseudo-differential operators. (Estimations \(L^p\) pour les opérateurs pseudo-différentiels multilinéaires et multiparamètres.) Zbl 1335.47033 Dai, Wei; Lu, Guozhen 22 2015 The maximum principles and symmetry results for viscosity solutions of fully nonlinear equations. Zbl 1312.35033 Lu, Guozhen; Zhu, Jiuyi 10 2015 Sharp singular Trudinger-Moser-Adams type inequalities with exact growth. Zbl 1338.35016 Lam, Nguyen; Lu, Guozhen 7 2015 Poincaré and Sobolev inequalities for vector fields satisfying Hörmander’s condition in variable exponent Sobolev spaces. Zbl 1339.46033 Li, Xia; Lu, Guo Zhen; Tang, Han Li 7 2015 Characterizations of second order Sobolev spaces. Zbl 1339.46030 Cui, Xiaoyue; Lam, Nguyen; Lu, Guozhen 3 2015 \(L^p\) estimates for bilinear and multiparameter Hilbert transforms. Zbl 1329.42008 Dai, Wei; Lu, Guozhen 1 2015 Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition. Zbl 1305.35069 Lam, Nguyen; Lu, Guozhen 79 2014 Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs. Zbl 1282.35393 Lam, Nguyen; Lu, Guozhen; Tang, Hanli 47 2014 Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026 Han, Yongsheng; Lu, Guozhen; Sawyer, Eric 39 2014 Multilinear Calderón-Zygmund operators with kernels of Dini’s type and applications. Zbl 1290.42039 Lu, Guozhen; Zhang, Pu 38 2014 Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness. Zbl 1286.42010 Chen, Jiao; Lu, Guozhen 34 2014 Duality theory of weighted Hardy spaces with arbitrary number of parameters. Zbl 1298.42025 Lu, Guozhen; Ruan, Zhuoping 21 2014 Symbolic calculus and boundedness of multi-parameter and multi-linear pseudo-differential operators. Zbl 1321.47111 Hong, Qing; Lu, Guozhen 19 2014 Boundedness of singular integrals in Journé’s class on weighted multiparameter Hardy spaces. Zbl 1302.42024 Han, Yongsheng; Lu, Guozhen; Ruan, Zhuoping 14 2014 New characterizations of Sobolev spaces on the Heisenberg group. Zbl 1316.46033 Cui, Xiaoyue; Lam, Nguyen; Lu, Guozhen 3 2014 A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument. Zbl 1294.46034 Lam, Nguyen; Lu, Guozhen 105 2013 \(N\)-Laplacian equations in \(\mathbb R^N\) with subcritical and critical growth without the Ambrosetti-Rabinowitz condition. Zbl 1283.35049 Lam, Nguyen; Lu, Guozhen 40 2013 Best constants for Moser-Trudinger inequalities on high dimensional hyperbolic spaces. Zbl 1294.46035 Lu, Guozhen; Tang, Hanli 38 2013 Multiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous type. Zbl 1275.42035 Han, Yongsheng; Li, Ji; Lu, Guozhen 25 2013 Boundedness criterion of Journé’s class of singular integrals on multiparameter Hardy spaces. Zbl 1268.42024 Han, Yongsheng; Lu, Guozhen; Ruan, Zhuoping 23 2013 ...and 91 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,357 Authors 124 Lu, Guozhen 45 Lam, Nguyen 42 Yang, Dachun 34 Chen, Lu 33 Duong, Xuan Thinh 33 Li, Ji 28 Yang, Qiaohua 27 The Anh Bui 26 Zhu, Maochun 25 Niu, Pengcheng 24 Yan, Lixin 22 Nguyễn Văn Hoàng 21 Franchi, Bruno 19 Do Ó, João M. Bezerra 19 Yang, Yunyan 17 Ding, Wei 17 Song, Liang 16 Nguyen Tuan Duy 16 Yang, Sibei 15 Chen, Wenxiong 15 Deng, Shengbing 15 Guliyev, Vagif Sabir 15 Han, Yongsheng 15 Wang, Jialin 15 Wu, Xinfeng 14 Manfredi, Juan J. 14 Yang, Minbo 13 Liu, Fang 12 Baldi, Annalisa 12 Bonfiglioli, Andrea 12 Dai, Wei 12 de Souza, Manassés X. 12 Tang, Hanli 11 Chen, Jiao 11 Li, Pengtao 11 Liu, Yu 11 Ruzhansky, Michael V. 11 Wheeden, Richard Lee 11 Zhu, Yueping 10 Cao, Jun 10 Ferrari, Fausto 10 Lanconelli, Ermanno 10 Liao, Dongni 10 Lin, Yan 10 Sani, Federica 10 Uguzzoni, Francesco 10 Zhang, Caifeng 10 Zhao, Jiman 9 Chang, Der-Chen E. 9 Chen, Peng 9 Chua, Seng-Kee 9 Di Fazio, Giuseppe 9 Dou, Jingbo 9 Garofalo, Nicola 9 Huang, Jizheng 9 Li, Congming 9 Li, Jungang 9 Pérez, Carlos 9 Pucci, Patrizia 9 Wang, Xumin 9 Zhang, Lu 9 Zhu, Jiuyi 8 Aouaoui, Sami 8 Dziubański, Jacek 8 Fanciullo, Maria Stella 8 Flynn, Joshua 8 He, Shaoyong 8 Hong, Qing 8 Morbidelli, Daniele 8 Tian, Xingliang 8 Wang, Pengyan 8 Wick, Brett Duane 8 Yang, Xiaoping 8 Yang, Zuodong 8 Zhang, Mengjie 7 Capogna, Luca 7 Chen, Jiecheng 7 Citti, Giovanna 7 Du, Guangwei 7 Han, Yanchang 7 Han, Yazhou 7 Hu, Guorong 7 Huang, Liang 7 Liu, Yanjun 7 Liu, Zongguang 7 Miyagaki, Olimpio Hiroshi 7 Mohammed, Ahmed 7 Montanari, Annamaria 7 Phi, Le Long 7 Rădulescu, Vicenţiu D. 7 Rossi, Julio Daniel 7 Si, Zengyan 7 Sreenadh, Konijeti 7 Tan, Chaoqiang 7 Tao, Chunxia 7 Wang, Peiyong 7 Xue, Qingying 7 Yang, Dongyong 7 Zhang, Lihong 7 Zhang, Pu ...and 1,257 more Authors all top 5 Cited in 239 Serials 118 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 76 Journal of Mathematical Analysis and Applications 60 Journal of Functional Analysis 60 The Journal of Geometric Analysis 47 Advanced Nonlinear Studies 45 Journal of Differential Equations 45 Calculus of Variations and Partial Differential Equations 44 Acta Mathematica Sinica. English Series 42 Proceedings of the American Mathematical Society 39 Potential Analysis 37 Communications on Pure and Applied Analysis 34 Transactions of the American Mathematical Society 30 Advances in Mathematics 25 Journal of Inequalities and Applications 23 Discrete and Continuous Dynamical Systems 23 Complex Variables and Elliptic Equations 23 Science China. Mathematics 22 Mathematische Annalen 22 Forum Mathematicum 19 The Journal of Fourier Analysis and Applications 19 Boundary Value Problems 18 Communications in Contemporary Mathematics 17 Annali di Matematica Pura ed Applicata. Serie Quarta 17 Mathematische Nachrichten 15 Mathematische Zeitschrift 14 Manuscripta Mathematica 14 Journal of Function Spaces 13 Revista Matemática Iberoamericana 13 Communications in Partial Differential Equations 13 Journal of Pseudo-Differential Operators and Applications 12 Applicable Analysis 11 NoDEA. Nonlinear Differential Equations and Applications 11 Mathematical Inequalities & Applications 10 Advances in Nonlinear Analysis 9 Mathematical Methods in the Applied Sciences 9 Studia Mathematica 9 Pacific Journal of Mathematics 9 Siberian Mathematical Journal 9 Applied Mathematics Letters 9 Abstract and Applied Analysis 9 Revista Matemática Complutense 9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 9 Mediterranean Journal of Mathematics 9 Banach Journal of Mathematical Analysis 9 Advances in Calculus of Variations 8 Czechoslovak Mathematical Journal 8 International Journal of Mathematics 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Journal of Mathematical Inequalities 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Journal d’Analyse Mathématique 7 Mathematical Notes 7 Memoirs of the American Mathematical Society 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 6 Journal of Mathematical Physics 6 Archiv der Mathematik 6 Electronic Journal of Differential Equations (EJDE) 6 Frontiers of Mathematics in China 5 Rocky Mountain Journal of Mathematics 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Annales de l’Institut Fourier 5 Acta Applicandae Mathematicae 5 SIAM Journal on Mathematical Analysis 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 Vietnam Journal of Mathematics 5 Taiwanese Journal of Mathematics 5 Journal of the Australian Mathematical Society 5 Acta Mathematica Scientia. Series B. (English Edition) 5 Analysis in Theory and Applications 5 Journal of Function Spaces and Applications 5 Analysis and Mathematical Physics 4 Indian Journal of Pure & Applied Mathematics 4 Integral Equations and Operator Theory 4 Journal of Approximation Theory 4 Journal of the Korean Mathematical Society 4 Journal of the Mathematical Society of Japan 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Chinese Annals of Mathematics. Series B 4 Annals of Global Analysis and Geometry 4 Acta Mathematicae Applicatae Sinica. English Series 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Applied Mathematics. Series B (English Edition) 4 Bulletin des Sciences Mathématiques 4 Nonlinear Analysis. Real World Applications 4 Journal of Evolution Equations 4 Bulletin of Mathematical Sciences 4 Analysis and Geometry in Metric Spaces 3 Nonlinearity 3 Bulletin of the London Mathematical Society 3 Collectanea Mathematica 3 Duke Mathematical Journal 3 Indiana University Mathematics Journal 3 Journal of the London Mathematical Society. Second Series 3 Monatshefte für Mathematik 3 Results in Mathematics 3 Ricerche di Matematica 3 Zeitschrift für Analysis und ihre Anwendungen 3 Bulletin of the Korean Mathematical Society 3 Journal of Partial Differential Equations ...and 139 more Serials all top 5 Cited in 45 Fields 980 Partial differential equations (35-XX) 499 Harmonic analysis on Euclidean spaces (42-XX) 421 Functional analysis (46-XX) 220 Real functions (26-XX) 153 Operator theory (47-XX) 104 Abstract harmonic analysis (43-XX) 98 Global analysis, analysis on manifolds (58-XX) 72 Differential geometry (53-XX) 63 Calculus of variations and optimal control; optimization (49-XX) 62 Topological groups, Lie groups (22-XX) 54 Integral equations (45-XX) 52 Potential theory (31-XX) 49 Functions of a complex variable (30-XX) 23 Several complex variables and analytic spaces (32-XX) 16 Ordinary differential equations (34-XX) 15 Convex and discrete geometry (52-XX) 10 Measure and integration (28-XX) 10 Special functions (33-XX) 10 Probability theory and stochastic processes (60-XX) 10 Numerical analysis (65-XX) 7 Difference and functional equations (39-XX) 7 Fluid mechanics (76-XX) 6 Quantum theory (81-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Approximations and expansions (41-XX) 5 Integral transforms, operational calculus (44-XX) 5 Information and communication theory, circuits (94-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Biology and other natural sciences (92-XX) 3 Combinatorics (05-XX) 3 Nonassociative rings and algebras (17-XX) 3 Manifolds and cell complexes (57-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 1 Number theory (11-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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