Edit Profile (opens in new tab) Chen, Lu Co-Author Distance Author ID: chen.lu Published as: Chen, Lu Documents Indexed: 58 Publications since 2016, including 16 Additional arXiv Preprints Co-Authors: 18 Co-Authors with 39 Joint Publications 309 Co-Co-Authors all top 5 Co-Authors 5 single-authored 29 Lu, Guozhen 15 Zhu, Maochun 7 Zhang, Caifeng 5 Tao, Chunxia 3 Tang, Hanli 2 Li, Jungang 2 Wang, Xumin 2 Xue, Ying 1 Cao, Yaqi 1 Chen, Gengxiang 1 Cui, Jin 1 Dong, Liqiang 1 Duong, Manh Hong 1 Fritz, Tobias 1 Gan, Yanbiao 1 Gu, Qinghua 1 Han, The Anh 1 Hou, Zhongsheng 1 Ji, Honghai 1 Jiang, Rou 1 Lai, Huilin 1 Li, Demei 1 Li, Xuexian 1 Li, Yingguang 1 Liang, Qin 1 Lin, Chuandong 1 Liu, Changqing 1 Liu, Hongyu 1 Liu, Shaogang 1 Liu, Shida 1 Liu, Xu 1 Lu, Caiwu 1 Luo, Xiang 1 Meng, Qinglu 1 Shen, Yansheng 1 Tang, Shuai 1 Wang, Bohan 1 Wang, Guanglan 1 Yang, Qiaohua 1 Yang, Yabo 1 Zhang, Dongliang 1 Zhang, Hui 1 Zhao, Dan 1 Zhu, Maocun all top 5 Serials 6 Advanced Nonlinear Studies 5 Calculus of Variations and Partial Differential Equations 4 The Journal of Geometric Analysis 2 Journal of Functional Analysis 2 Potential Analysis 2 Communications on Pure and Applied Analysis 1 Applicable Analysis 1 Computers and Fluids 1 Advances in Mathematics 1 Canadian Mathematical Bulletin 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 International Journal of Robust and Nonlinear Control 1 Statistica Sinica 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 Mathematical Inequalities & Applications 1 Acta Mathematica Sinica. English Series 1 International Journal of Numerical Analysis and Modeling 1 Engineering Optimization 1 Complex Variables and Elliptic Equations 1 Science China. Mathematics all top 5 Fields 30 Partial differential equations (35-XX) 15 Functional analysis (46-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Integral equations (45-XX) 5 Real functions (26-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 290 times in 127 Documents Cited by ▼ Year ▼ Concentration-compactness principle of singular Trudinger-Moser inequalities in \(\mathbb{R}^n\) and \(n\)-Laplace equations. Zbl 1397.35117 Zhang, Caifeng; Chen, Lu 42 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 Existence of extremal functions for the Stein-Weiss inequalities on the Heisenberg group. Zbl 1429.26034 Chen, Lu; Lu, Guozhen; Tao, Chunxia 20 2019 Reverse Stein-Weiss inequalities and existence of their extremal functions. Zbl 1418.42041 Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia 19 2018 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 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 Fourier multiplier operators on Triebel-Lizorkin and Besov-Lipschitz spaces. Zbl 1333.42013 Chen, Lu; Lu, Guozhen; Luo, Xiang 14 2016 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 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 A critical Trudinger-Moser inequality involving a degenerate potential and nonlinear Schrödinger equations. Zbl 1468.35040 Chen, Lu; Lu, Guozhen; Zhu, Maochun 10 2021 Sharpened Trudinger-Moser inequalities on the Euclidean space and Heisenberg group. Zbl 1487.46034 Chen, Lu; Lu, Guozhen; Zhu, Maochun 4 2021 Improved fractional Trudinger-Moser inequalities on bounded intervals and the existence of their extremals. Zbl 1527.46020 Chen, Lu; Wang, Bohan; Zhu, Maochun 4 2023 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 Ground state solutions of polyharmonic equations with potentials of positive low bound. Zbl 1437.35245 Zhang, Caifeng; Li, Jungang; Chen, Lu 4 2020 Liouville type theorems for general integral system with negative exponents. Zbl 1401.45007 Liu, Zhao; Chen, Lu; Wang, Xumin 4 2018 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 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 Sharp stability of log-Sobolev and Moser-Onofri inequalities on the sphere. Zbl 1526.46021 Chen, Lu; Lu, Guozhen; Tang, Hanli 3 2023 Singular Moser-Trudinger inequality with the exact growth condition in \(\mathbb{R}^n\). Zbl 1375.35013 Liu, Zhao; Chen, Lu 2 2017 Sharp weighted Trudinger-Moser inequalities with the \(L^n\) norm in the entire space \(\mathbb{R}^n\) and existence of their extremal functions. Zbl 1459.35139 Wang, Xumin; Chen, Lu 2 2021 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 Existence of extremals for Trudinger-Moser inequalities involved with a trapping potential. Zbl 1514.35181 Chen, Lu; Lu, Guozhen; Zhu, Maochun 2 2023 Singular Moser-Trudinger inequality with the exact growth condition on hyperbolic space. Zbl 1365.42015 Liu, Zhao; Chen, Lu 1 2017 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 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 Improved fractional Trudinger-Moser inequalities on bounded intervals and the existence of their extremals. Zbl 1527.46020 Chen, Lu; Wang, Bohan; Zhu, Maochun 4 2023 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 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 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 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 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 A critical Trudinger-Moser inequality involving a degenerate potential and nonlinear Schrödinger equations. Zbl 1468.35040 Chen, Lu; Lu, Guozhen; Zhu, Maochun 10 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 Sharp weighted Trudinger-Moser inequalities with the \(L^n\) norm in the entire space \(\mathbb{R}^n\) and existence of their extremal functions. Zbl 1459.35139 Wang, Xumin; Chen, Lu 2 2021 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 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 Ground state solutions of polyharmonic equations with potentials of positive low bound. Zbl 1437.35245 Zhang, Caifeng; Li, Jungang; Chen, Lu 4 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 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 Concentration-compactness principle of singular Trudinger-Moser inequalities in \(\mathbb{R}^n\) and \(n\)-Laplace equations. Zbl 1397.35117 Zhang, Caifeng; Chen, Lu 42 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 Reverse Stein-Weiss inequalities and existence of their extremal functions. Zbl 1418.42041 Chen, Lu; Liu, Zhao; Lu, Guozhen; Tao, Chunxia 19 2018 Liouville type theorems for general integral system with negative exponents. Zbl 1401.45007 Liu, Zhao; Chen, Lu; Wang, Xumin 4 2018 Singular Moser-Trudinger inequality with the exact growth condition in \(\mathbb{R}^n\). Zbl 1375.35013 Liu, Zhao; Chen, Lu 2 2017 Singular Moser-Trudinger inequality with the exact growth condition on hyperbolic space. Zbl 1365.42015 Liu, Zhao; Chen, Lu 1 2017 Symmetry and regularity of solutions to the weighted Hardy-Sobolev type system. Zbl 1382.35326 Chen, Lu; Liu, Zhao; Lu, Guozhen 18 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 all cited Publications top 5 cited Publications all top 5 Cited by 124 Authors 33 Lu, Guozhen 29 Chen, Lu 20 Zhu, Maochun 8 Zhang, Caifeng 7 Yang, Minbo 6 Tao, Chunxia 6 Wang, Xumin 5 Hu, Yunyun 5 Lam, Nguyen 5 Zhao, Jiman 4 Fang, Jingxuan 4 Li, Jungang 4 Liu, Yanjun 4 Zhou, Xianmei 3 Dridi, Brahim 3 Jaidane, Rached 3 Li, Hongbo 3 Tang, Hanli 3 Yang, Qiaohua 3 Yu, Fang 3 Zhang, Lu 2 Cazacu, Cristian M. 2 Chen, Jiao 2 Chen, Wenjing 2 de Souza, Manassés X. 2 Deng, Shengbing 2 Dou, Jingbo 2 Flynn, Joshua 2 Hong, Qing 2 Huang, Liang 2 König, Tobias 2 Liu, Chungen 2 Ruzhansky, Michael V. 2 Shen, Yansheng 2 Suragan, Durvudkhan 2 Torres Ledesma, César Enrique 2 Vanterler da Costa Sousa, José 2 Wang, Guanglan 2 Xu, Chengdan 1 Abdelhakim, Ahmed A. 1 Adhikari, Saswata 1 Anoop, V. P. 1 Chang, Huiting 1 Chen, Qiuhui 1 Chen, Wenhuan 1 Chen, Wenxiong 1 Chetouane, Rima 1 Cruz, Amado M. 1 Dai, Wei 1 Dao, Anh Nguyen 1 de Nápoli, Pablo Luis 1 de Oliveira, José Francisco Alves 1 de S. Germano, Diogo 1 DelaTorre, Azahara 1 Ding, Wei 1 Dolbeault, Jean 1 Du, Lele 1 Dwivedi, Gaurav 1 Feng, Zhaosheng 1 Frank, Rupert L. 1 Fu, Zunwei 1 Gao, Fashun 1 Gupta, Shilpa Das 1 Han, Yazhou 1 Hashizume, Masato 1 He, Guoqing 1 Huan, Zhongdan 1 Kassymov, Aidyn Adilovich 1 Li, Dongliang 1 Li, Nina 1 Li, Xiang 1 Lin, Xiaolu 1 Liu, Heping 1 Liu, Jun 1 Liu, Suying 1 Liu, Xiaoqian 1 Liu, Yin 1 Ma, Xing 1 Macedo, Abiel Costa 1 Mancini, Gabriele 1 Melgaard, Michael 1 Nguyen Tuan Duy 1 Parui, Sanjay 1 Phi, Le Long 1 Picon, Tiago Henrique 1 Pucci, Patrizia 1 Qi, Shijie 1 Qian, Xiaoyong 1 Rădulescu, Vicenţiu D. 1 Severo, Uberlandio Batista 1 Shen, Zifei 1 Song, Naiqi 1 Song, Zhen 1 Squassina, Marco 1 Sun, Jingxuan 1 Tang, Chun-Lei 1 Tang, Sufang 1 Tian, Xingliang 1 Wang, Bohan 1 Wang, Jun ...and 24 more Authors all top 5 Cited in 53 Serials 18 Advanced Nonlinear Studies 9 The Journal of Geometric Analysis 9 Communications on Pure and Applied Analysis 8 Calculus of Variations and Partial Differential Equations 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Proceedings of the American Mathematical Society 4 Potential Analysis 4 Acta Mathematica Sinica. English Series 4 Complex Variables and Elliptic Equations 3 Advances in Mathematics 3 Journal of Differential Equations 3 Pacific Journal of Mathematics 3 Mediterranean Journal of Mathematics 3 Science China. Mathematics 2 Applicable Analysis 2 Journal of Functional Analysis 2 Mathematische Zeitschrift 2 Revista Matemática Iberoamericana 2 Forum Mathematicum 2 Discrete and Continuous Dynamical Systems 2 Mathematical Inequalities & Applications 2 Acta Mathematica Sinica. Chinese Series 1 Journal of Mathematical Analysis and Applications 1 Lithuanian Mathematical Journal 1 Mathematical Methods in the Applied Sciences 1 Studia Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Illinois Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Applied Mathematics Letters 1 International Journal of Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 Communications in Contemporary Mathematics 1 Journal of Nonlinear Mathematical Physics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Complex Analysis and Operator Theory 1 Journal of Mathematical Inequalities 1 Annals of Functional Analysis 1 Communications in Mathematics and Statistics 1 Advances in Nonlinear Analysis 1 Journal of Function Spaces 1 Journal of Elliptic and Parabolic Equations 1 La Matematica all top 5 Cited in 23 Fields 85 Partial differential equations (35-XX) 41 Functional analysis (46-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 25 Real functions (26-XX) 19 Integral equations (45-XX) 8 Abstract harmonic analysis (43-XX) 7 Operator theory (47-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Differential geometry (53-XX) 3 Potential theory (31-XX) 3 Ordinary differential equations (34-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Quantum theory (81-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year