Edit Profile (opens in new tab) Zhu, Jiuyi Co-Author Distance Author ID: zhu.jiuyi Published as: Zhu, Jiuyi Documents Indexed: 39 Publications since 1994, including 5 Additional arXiv Preprints Co-Authors: 13 Co-Authors with 21 Joint Publications 505 Co-Co-Authors all top 5 Co-Authors 13 single-authored 8 Lu, Guozhen 3 Chen, Wenxiong 3 Zhuge, Jinping 2 Davey, Blair 2 Dawson, Darren M. 2 Han, Xiaolong 2 Kenig, Carlos Eduardo 2 Wang, Xing 1 Bridges, M. M. 1 Dai, Qiuyi 1 Gu, Yonggeng 1 Li, Congming 1 Lin, Fang Hua 1 Malisani, Paul 1 Martindale, S. C. 1 Mimouni, D. 1 Qu, Zhihua 1 Sogge, Christopher D. 1 Wang, Peiyong all top 5 Serials 4 Calculus of Variations and Partial Differential Equations 3 Journal of Differential Equations 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Communications in Partial Differential Equations 2 International Journal of Control 2 Journal of Fluid Mechanics 2 Journal of Functional Analysis 2 Advanced Nonlinear Studies 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 American Journal of Mathematics 1 Mathematische Annalen 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 SIAM Journal on Mathematical Analysis 1 Potential Analysis 1 Mathematical Research Letters 1 Discrete and Continuous Dynamical Systems 1 Vietnam Journal of Mathematics 1 Analysis & PDE all top 5 Fields 31 Partial differential equations (35-XX) 8 Global analysis, analysis on manifolds (58-XX) 4 Measure and integration (28-XX) 3 Systems theory; control (93-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Fluid mechanics (76-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 461 times in 283 Documents Cited by ▼ Year ▼ Indefinite fractional elliptic problem and Liouville theorems. Zbl 1336.35089 Chen, Wenxiong; Zhu, Jiuyi 84 2016 Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality. Zbl 1231.35290 Lu, Guozhen; Zhu, Jiuyi 67 2011 An overdetermined problem in Riesz-potential and fractional Laplacian. Zbl 1236.31004 Lu, Guozhen; Zhu, Jiuyi 40 2012 Improved Moser-Trudinger inequality involving \(L^p\) norm in \(n\) dimensions. Zbl 1315.35012 Zhu, Jiuyi 29 2014 Characterization of balls in terms of Bessel-potential integral equation. Zbl 1229.31005 Han, Xiaolong; Lu, Guozhen; Zhu, Jiuyi 27 2012 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 Axial symmetry and regularity of solutions to an integral equation in a half-space. Zbl 1239.45005 Lu, Guozhen; Zhu, Jiuyi 24 2011 Fractional equations with indefinite nonlinearities. Zbl 1408.35037 Chen, Wenxiong; Li, Congming; Zhu, Jiuyi 20 2019 Quantitative uniqueness of elliptic equations. Zbl 1357.35103 Zhu, Jiuyi 18 2016 Radial symmetry and regularity of solutions for poly-harmonic Dirichlet problems. Zbl 1211.35101 Chen, Wenxiong; Zhu, Jiuyi 17 2011 Doubling property and vanishing order of Steklov eigenfunctions. Zbl 1323.47017 Zhu, Jiuyi 12 2015 Interior nodal sets of Steklov eigenfunctions on surfaces. Zbl 1342.35193 Zhu, Jiuyi 11 2016 Liouville-type theorems and decay estimates for solutions to higher order elliptic equations. Zbl 1255.35064 Lu, Guozhen; Wang, Peiyong; Zhu, Jiuyi 11 2012 The maximum principles and symmetry results for viscosity solutions of fully nonlinear equations. Zbl 1312.35033 Lu, Guozhen; Zhu, Jiuyi 10 2015 Quantitative uniqueness of solutions to second order elliptic equations with singular potentials in two dimensions. Zbl 1395.35081 Davey, Blair; Zhu, Jiuyi 10 2018 Quantitative uniqueness of solutions to second-order elliptic equations with singular lower order terms. Zbl 1427.35026 Davey, Blair; Zhu, Jiuyi 9 2019 A lower bound for the nodal sets of Steklov eigenfunctions. Zbl 1327.58012 Wang, Xing; Zhu, Jiuyi 8 2015 Lower bounds for interior nodal sets of Steklov eigenfunctions. Zbl 1359.35116 Sogge, Christopher D.; Wang, Xing; Zhu, Jiuyi 8 2016 Quantitative unique continuation of solutions to higher order elliptic equations with singular coefficients. Zbl 1392.35118 Zhu, Jiuyi 6 2018 Geometry and interior nodal sets of Steklov eigenfunctions. Zbl 1448.35351 Zhu, Jiuyi 6 2020 Quantitative uniqueness of solutions to parabolic equations. Zbl 1401.35148 Zhu, Jiuyi 5 2018 A priori estimates, existence and non-existence of positive solutions of generalized mean curvature equations. Zbl 1241.35068 Dai, Qiuyi; Gu, Yonggeng; Zhu, Jiuyi 4 2011 Liouville-type theorems for fully nonlinear elliptic equations and systems in half spaces. Zbl 1298.35021 Lu, Guozhen; Zhu, Jiuyi 3 2013 A new design for model reference robust control using state-space techniques. Zbl 0845.93043 Zhu, J. Y.; Martindale, S. C.; Dawson, D. M. 2 1995 Lift and drag in two-dimensional steady viscous and compressible flow. Zbl 1382.76149 Liu, L. Q.; Zhu, J. Y.; Wu, J. Z. 2 2015 Propagation of smallness in elliptic periodic homogenization. Zbl 1456.35021 Kenig, Carlos; Zhu, Jiuyi 2 2021 Doubling inequality and nodal sets for solutions of bi-Laplace equations. Zbl 1417.35047 Zhu, Jiuyi 2 2019 Upper bounds of nodal sets for eigenfunctions of eigenvalue problems. Zbl 1489.35034 Lin, Fanghua; Zhu, Jiuyi 2 2022 Longitudinal-transverse aerodynamic force in viscous compressible complex flow. Zbl 1327.76085 Liu, L. Q.; Shi, Y. P.; Zhu, J. Y.; Su, W. D.; Zou, S. F.; Wu, J. Z. 1 2014 Doubling inequalities and critical sets of Dirichlet eigenfunctions. Zbl 1469.35163 Zhu, Jiuyi 1 2021 Upper bounds of nodal sets for eigenfunctions of eigenvalue problems. Zbl 1489.35034 Lin, Fanghua; Zhu, Jiuyi 2 2022 Propagation of smallness in elliptic periodic homogenization. Zbl 1456.35021 Kenig, Carlos; Zhu, Jiuyi 2 2021 Doubling inequalities and critical sets of Dirichlet eigenfunctions. Zbl 1469.35163 Zhu, Jiuyi 1 2021 Geometry and interior nodal sets of Steklov eigenfunctions. Zbl 1448.35351 Zhu, Jiuyi 6 2020 Fractional equations with indefinite nonlinearities. Zbl 1408.35037 Chen, Wenxiong; Li, Congming; Zhu, Jiuyi 20 2019 Quantitative uniqueness of solutions to second-order elliptic equations with singular lower order terms. Zbl 1427.35026 Davey, Blair; Zhu, Jiuyi 9 2019 Doubling inequality and nodal sets for solutions of bi-Laplace equations. Zbl 1417.35047 Zhu, Jiuyi 2 2019 Quantitative uniqueness of solutions to second order elliptic equations with singular potentials in two dimensions. Zbl 1395.35081 Davey, Blair; Zhu, Jiuyi 10 2018 Quantitative unique continuation of solutions to higher order elliptic equations with singular coefficients. Zbl 1392.35118 Zhu, Jiuyi 6 2018 Quantitative uniqueness of solutions to parabolic equations. Zbl 1401.35148 Zhu, Jiuyi 5 2018 Indefinite fractional elliptic problem and Liouville theorems. Zbl 1336.35089 Chen, Wenxiong; Zhu, Jiuyi 84 2016 Quantitative uniqueness of elliptic equations. Zbl 1357.35103 Zhu, Jiuyi 18 2016 Interior nodal sets of Steklov eigenfunctions on surfaces. Zbl 1342.35193 Zhu, Jiuyi 11 2016 Lower bounds for interior nodal sets of Steklov eigenfunctions. Zbl 1359.35116 Sogge, Christopher D.; Wang, Xing; Zhu, Jiuyi 8 2016 Doubling property and vanishing order of Steklov eigenfunctions. Zbl 1323.47017 Zhu, Jiuyi 12 2015 The maximum principles and symmetry results for viscosity solutions of fully nonlinear equations. Zbl 1312.35033 Lu, Guozhen; Zhu, Jiuyi 10 2015 A lower bound for the nodal sets of Steklov eigenfunctions. Zbl 1327.58012 Wang, Xing; Zhu, Jiuyi 8 2015 Lift and drag in two-dimensional steady viscous and compressible flow. Zbl 1382.76149 Liu, L. Q.; Zhu, J. Y.; Wu, J. Z. 2 2015 Improved Moser-Trudinger inequality involving \(L^p\) norm in \(n\) dimensions. Zbl 1315.35012 Zhu, Jiuyi 29 2014 Longitudinal-transverse aerodynamic force in viscous compressible complex flow. Zbl 1327.76085 Liu, L. Q.; Shi, Y. P.; Zhu, J. Y.; Su, W. D.; Zou, S. F.; Wu, J. Z. 1 2014 Liouville-type theorems for fully nonlinear elliptic equations and systems in half spaces. Zbl 1298.35021 Lu, Guozhen; Zhu, Jiuyi 3 2013 An overdetermined problem in Riesz-potential and fractional Laplacian. Zbl 1236.31004 Lu, Guozhen; Zhu, Jiuyi 40 2012 Characterization of balls in terms of Bessel-potential integral equation. Zbl 1229.31005 Han, Xiaolong; Lu, Guozhen; Zhu, Jiuyi 27 2012 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 Liouville-type theorems and decay estimates for solutions to higher order elliptic equations. Zbl 1255.35064 Lu, Guozhen; Wang, Peiyong; Zhu, Jiuyi 11 2012 Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality. Zbl 1231.35290 Lu, Guozhen; Zhu, Jiuyi 67 2011 Axial symmetry and regularity of solutions to an integral equation in a half-space. Zbl 1239.45005 Lu, Guozhen; Zhu, Jiuyi 24 2011 Radial symmetry and regularity of solutions for poly-harmonic Dirichlet problems. Zbl 1211.35101 Chen, Wenxiong; Zhu, Jiuyi 17 2011 A priori estimates, existence and non-existence of positive solutions of generalized mean curvature equations. Zbl 1241.35068 Dai, Qiuyi; Gu, Yonggeng; Zhu, Jiuyi 4 2011 A new design for model reference robust control using state-space techniques. Zbl 0845.93043 Zhu, J. Y.; Martindale, S. C.; Dawson, D. M. 2 1995 all cited Publications top 5 cited Publications all top 5 Cited by 313 Authors 24 Lu, Guozhen 19 Chen, Wenxiong 18 Zhu, Jiuyi 12 Chen, Lu 11 Li, Congming 10 Niu, Pengcheng 9 Wang, Pengyan 7 Tao, Chunxia 7 Wang, Guotao 7 Zhang, Lihong 6 Davey, Blair 6 Hu, Yunyun 5 Banerjee, Agnid 5 Hou, Wenwen 5 Wu, Leyun 5 Zhang, Mengjie 4 Dou, Jingbo 4 Fang, Yanqin 4 Huang, Xiaotao 4 Lam, Nguyen 4 Li, Guanfeng 4 Li, Jungang 4 Liu, Baiyu 4 Ma, Lingwei 4 Wang, Jenn-Nan 4 Wang, Xinjing 4 Zhang, Zhenqiu 4 Zhou, Changliang 4 Zhuo, Ran 3 Arya, Vedansh 3 Bao, Jiguang 3 Cao, Linfen 3 Chen, Xueying 3 Cheng, Tingzhi 3 Cui, Xuewei 3 Dai, Wei 3 Ji, Xiaoxue 3 Kenig, Carlos Eduardo 3 Li, Dongsheng 3 Li, Fengquan 3 Lü, Zhongxue 3 Ma, Feiyao 3 Ma, Li 3 Ren, Xueyan 3 Ruzhansky, Michael V. 3 Shen, Yansheng 3 Villavert, John 3 Wang, Lihe 3 Wo, Weifeng 3 Wu, Zhigang 3 Xu, Jiankai 3 Yang, Minbo 3 Yin, Rong 3 Yu, Mei 3 Zhang, Caifeng 3 Zhang, Jihui 3 Zhou, Chunqin 3 Zhou, Huaiyu 3 Zhu, Maochun 3 Zhu, Xiaobao 2 Bao, Gejun 2 Barrios Barrera, Begoña 2 Dai, Limei 2 Dai, Zhaohui 2 Galkowski, Jeffrey 2 Kassymov, Aidyn Adilovich 2 Li, Jing 2 Li, Ping 2 Li, Yan 2 Li, Yunting 2 Liu, Yaqiong 2 Loiudice, Annunziata 2 Manna, Ramesh 2 Neumayer, Robin 2 Nieto Roig, Juan Jose 2 Ou, Jianyu 2 Qi, Shijie 2 Qu, Meng 2 Quaas, Alexander 2 Rüland, Angkana 2 Shang, Xudong 2 Sher, David A. 2 Shi, Feilin 2 Sun, Miao 2 Suragan, Durvudkhan 2 Tang, Sufang 2 Topaloglu, Ihsan 2 Toth, John Andrew 2 Wang, Xiaoshan 2 Wang, Xumin 2 Wang, Yamin 2 Wu, Huoxiong 2 Wu, Jiayan 2 Wu, Leyun 2 Xiong, Jingang 2 Xu, Hao 2 Yang, Liu 2 Yang, Xiaoping 2 Yang, Yunyan 2 Yang, Zuodong ...and 213 more Authors all top 5 Cited in 90 Serials 22 Communications on Pure and Applied Analysis 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Discrete and Continuous Dynamical Systems 14 Journal of Mathematical Analysis and Applications 12 Journal of Functional Analysis 11 Advances in Mathematics 11 Calculus of Variations and Partial Differential Equations 11 Complex Variables and Elliptic Equations 10 Journal of Differential Equations 10 Advanced Nonlinear Studies 7 Acta Mathematica Sinica. English Series 6 The Journal of Geometric Analysis 5 Applied Mathematics Letters 4 Mathematische Annalen 4 Mathematische Zeitschrift 4 Pacific Journal of Mathematics 4 Proceedings of the American Mathematical Society 4 Potential Analysis 4 Fractional Calculus & Applied Analysis 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Science China. Mathematics 3 Acta Applicandae Mathematicae 3 Forum Mathematicum 3 International Journal of Mathematics 3 Communications in Partial Differential Equations 3 Journal of Inequalities and Applications 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Analysis and Mathematical Physics 2 Applicable Analysis 2 Rocky Mountain Journal of Mathematics 2 Manuscripta Mathematica 2 Transactions of the American Mathematical Society 2 Acta Mathematicae Applicatae Sinica. English Series 2 SIAM Journal on Mathematical Analysis 2 Mathematical Inequalities & Applications 2 Communications in Contemporary Mathematics 2 Nonlinear Analysis. Modelling and Control 2 Boundary Value Problems 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Pseudo-Differential Operators and Applications 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Studia Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of the Korean Mathematical Society 1 Journal für die Reine und Angewandte Mathematik 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 SIAM Journal on Control and Optimization 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Journal of Integral Equations and Applications 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Partial Differential Equations 1 Topological Methods in Nonlinear Analysis 1 Applied Mathematics. Series B (English Edition) 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bulletin des Sciences Mathématiques 1 Integral Transforms and Special Functions 1 The Journal of Fourier Analysis and Applications 1 Vietnam Journal of Mathematics 1 Revista Matemática Complutense 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Mediterranean Journal of Mathematics 1 Oberwolfach Reports 1 Journal of Fixed Point Theory and Applications 1 Complex Analysis and Operator Theory 1 Frontiers of Mathematics in China 1 Journal of Mathematical Inequalities 1 Advances in Calculus of Variations 1 Journal of Spectral Theory 1 Bulletin of Mathematical Sciences 1 Communications in Mathematics and Statistics 1 Evolution Equations and Control Theory 1 Advances in Nonlinear Analysis 1 Journal of Mathematics 1 AIMS Mathematics all top 5 Cited in 24 Fields 241 Partial differential equations (35-XX) 42 Integral equations (45-XX) 24 Global analysis, analysis on manifolds (58-XX) 22 Functional analysis (46-XX) 17 Real functions (26-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 12 Differential geometry (53-XX) 10 Potential theory (31-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 5 Abstract harmonic analysis (43-XX) 5 Operator theory (47-XX) 4 Topological groups, Lie groups (22-XX) 4 Functions of a complex variable (30-XX) 3 Measure and integration (28-XX) 3 Fluid mechanics (76-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Citations by Year