## Zou, Henghui

Compute Distance To:
 Author ID: zou.henghui Published as: Zou, Henghui; Zou, Heng Hui Homepage: http://people.cas.uab.edu/~zou/ External Links: MGP
 Documents Indexed: 39 Publications since 1992 Co-Authors: 6 Co-Authors with 15 Joint Publications 441 Co-Co-Authors
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### Co-Authors

 24 single-authored 13 Serrin, James 2 Pucci, Patrizia 1 Peletier, Lambertus Adrianus 1 Reichel, Wolfgang 1 Wu, Jinbiao 1 Xu, Jinchao
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### Serials

 3 Journal of Differential Equations 3 Differential and Integral Equations 3 Communications in Partial Differential Equations 2 Archive for Rational Mechanics and Analysis 2 Calculus of Variations and Partial Differential Equations 1 Applicable Analysis 1 IMA Journal of Applied Mathematics 1 Acta Mathematica 1 American Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Transactions of the American Mathematical Society 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Partial Differential Equations 1 Topological Methods in Nonlinear Analysis 1 Methods and Applications of Analysis 1 Sbornik: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Advanced Nonlinear Studies 1 Nonlinear Analysis. Theory, Methods & Applications

### Fields

 37 Partial differential equations (35-XX) 3 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

33 Publications have been cited 839 times in 591 Documents Cited by Year
Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities. Zbl 1059.35040
Serrin, James; Zou, Henghui
2002
Non-existence of positive solutions of Lane-Emden systems. Zbl 0868.35032
Serrin, James; Zou, Henghui
1996
Existence of positive solutions of the Lane-Emden system. Zbl 0917.35031
Serrin, James; Zou, Henghui
1998
Non-existence results for semilinear cooperative elliptic systems via moving spheres. Zbl 0962.35054
Reichel, Wolfgang; Zou, Henghui
2000
Symmetry of ground states of quasilinear elliptic equations. Zbl 0940.35079
Serrin, James; Zou, Henghui
1999
A strong maximum principle and a compact support principle for singular elliptic inequalities. Zbl 0952.35045
Pucci, Patrizia; Serrin, James; Zou, Henghui
1999
A priori estimates for a semilinear elliptic system without variational structure and their applications. Zbl 1005.35024
Zou, Henghui
2002
Existence of positive entire solutions of elliptic Hamiltonian systems. Zbl 0906.35033
Serrin, James; Zou, Henghui
1998
A priori estimates and existence for quasi-linear elliptic equations. Zbl 1169.35336
Zou, Heng Hui
2008
Non-existence of positive solutions of semilinear elliptic systems. Zbl 0900.35121
Serrin, James; Zou, Henghui
1994
Symmetry of positive solutions of $$\Delta u + u^ p = 0$$ in $$\mathbf R^ n$$. Zbl 0844.35028
Zou, Henghui
1995
Existence and non-existence results for ground states of quasilinear elliptic equations. Zbl 0795.35027
Serrin, James; Zou, Henghui
1992
Classification of positive solutions of quasilinear elliptic equations. Zbl 0813.35019
Serrin, James; Zou, Henghui
1994
On global existence for the Gierer-Meinhardt system. Zbl 1432.35119
Zou, Henghui
2015
A priori estimates and existence for strongly coupled semilinear cooperative elliptic systems. Zbl 1137.35027
Zou, Henghui
2006
Symmetry of ground states of semilinear elliptic equations with mixed Sobolev growth. Zbl 0864.35009
Zou, Henghui
1996
Slow decay and the Harnack inequality for positive solutions of $$\Delta u+ u^ p =0$$ in $$\mathbb{R}^ n$$. Zbl 0849.35028
Zou, Henghui
1995
On the well-posedness of a mathematical model for lithium-ion battery systems. Zbl 1135.35300
Wu, Jinbiao; Xu, Jinchao; Zou, Henghui
2006
Symmetry of ground states for a semilinear elliptic system. Zbl 0933.35065
Zou, Henghui
2000
Existence and non-existence for Schrödinger equations involving critical Sobolev exponents. Zbl 1190.35064
Zou, Henghui
2010
Blow-up rates for semi-linear reaction-diffusion systems. Zbl 1293.35058
Zou, Henghui
2014
Existence and non-existence of positive solutions of the scalar field system in $$\mathbb{R}^ n$$. I. Zbl 0851.35034
Zou, Henghui
1996
On the effect of the domain geometry on uniqueness of positive solutions of $$\Delta u+ u^ p=0$$. Zbl 0815.35031
Zou, Henghui
1994
Finite-time blow-up and blow-up rates for the Gierer-Meinhardt system. Zbl 1331.35171
Zou, Henghui
2015
A note on non-existence results for semi-linear cooperative elliptic systems via moving spheres. Zbl 1156.35353
Zou, Henghui
2006
Existence and non-existence for strongly coupled quasi-linear cooperative elliptic systems. Zbl 1197.35099
Zou, Henghui
2007
Asymptotic integration of second order systems. Zbl 0815.34038
Serrin, James; Zou, Henghui
1994
A strong maximum principle and a compact support principle for singular elliptic inequalities. Zbl 0945.35032
Pucci, Patrizia; Serrin, James; Zou, Henghui
1999
On positive solutions of quasi-linear elliptic equations involving critical Sobolev growth. Zbl 1393.35065
Zou, Henghui
2012
A priori estimates and existence on strongly coupled cooperative elliptic systems. Zbl 1215.35064
Zou, Henghui
2006
On positive solutions for semilinear elliptic equations with an indefinite nonlinearity via bifurcation. Zbl 0953.35050
Zou, Henghui
2000
A priori estimates, existence and non-existence for quasilinear cooperative elliptic systems. Zbl 1161.35377
Zou, Henghui
2008
A priori estimates and existence for strongly coupled non-linear Schrödinger systems. Zbl 1200.35070
Zou, Henghui
2009
On global existence for the Gierer-Meinhardt system. Zbl 1432.35119
Zou, Henghui
2015
Finite-time blow-up and blow-up rates for the Gierer-Meinhardt system. Zbl 1331.35171
Zou, Henghui
2015
Blow-up rates for semi-linear reaction-diffusion systems. Zbl 1293.35058
Zou, Henghui
2014
On positive solutions of quasi-linear elliptic equations involving critical Sobolev growth. Zbl 1393.35065
Zou, Henghui
2012
Existence and non-existence for Schrödinger equations involving critical Sobolev exponents. Zbl 1190.35064
Zou, Henghui
2010
A priori estimates and existence for strongly coupled non-linear Schrödinger systems. Zbl 1200.35070
Zou, Henghui
2009
A priori estimates and existence for quasi-linear elliptic equations. Zbl 1169.35336
Zou, Heng Hui
2008
A priori estimates, existence and non-existence for quasilinear cooperative elliptic systems. Zbl 1161.35377
Zou, Henghui
2008
Existence and non-existence for strongly coupled quasi-linear cooperative elliptic systems. Zbl 1197.35099
Zou, Henghui
2007
A priori estimates and existence for strongly coupled semilinear cooperative elliptic systems. Zbl 1137.35027
Zou, Henghui
2006
On the well-posedness of a mathematical model for lithium-ion battery systems. Zbl 1135.35300
Wu, Jinbiao; Xu, Jinchao; Zou, Henghui
2006
A note on non-existence results for semi-linear cooperative elliptic systems via moving spheres. Zbl 1156.35353
Zou, Henghui
2006
A priori estimates and existence on strongly coupled cooperative elliptic systems. Zbl 1215.35064
Zou, Henghui
2006
Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities. Zbl 1059.35040
Serrin, James; Zou, Henghui
2002
A priori estimates for a semilinear elliptic system without variational structure and their applications. Zbl 1005.35024
Zou, Henghui
2002
Non-existence results for semilinear cooperative elliptic systems via moving spheres. Zbl 0962.35054
Reichel, Wolfgang; Zou, Henghui
2000
Symmetry of ground states for a semilinear elliptic system. Zbl 0933.35065
Zou, Henghui
2000
On positive solutions for semilinear elliptic equations with an indefinite nonlinearity via bifurcation. Zbl 0953.35050
Zou, Henghui
2000
Symmetry of ground states of quasilinear elliptic equations. Zbl 0940.35079
Serrin, James; Zou, Henghui
1999
A strong maximum principle and a compact support principle for singular elliptic inequalities. Zbl 0952.35045
Pucci, Patrizia; Serrin, James; Zou, Henghui
1999
A strong maximum principle and a compact support principle for singular elliptic inequalities. Zbl 0945.35032
Pucci, Patrizia; Serrin, James; Zou, Henghui
1999
Existence of positive solutions of the Lane-Emden system. Zbl 0917.35031
Serrin, James; Zou, Henghui
1998
Existence of positive entire solutions of elliptic Hamiltonian systems. Zbl 0906.35033
Serrin, James; Zou, Henghui
1998
Non-existence of positive solutions of Lane-Emden systems. Zbl 0868.35032
Serrin, James; Zou, Henghui
1996
Symmetry of ground states of semilinear elliptic equations with mixed Sobolev growth. Zbl 0864.35009
Zou, Henghui
1996
Existence and non-existence of positive solutions of the scalar field system in $$\mathbb{R}^ n$$. I. Zbl 0851.35034
Zou, Henghui
1996
Symmetry of positive solutions of $$\Delta u + u^ p = 0$$ in $$\mathbf R^ n$$. Zbl 0844.35028
Zou, Henghui
1995
Slow decay and the Harnack inequality for positive solutions of $$\Delta u+ u^ p =0$$ in $$\mathbb{R}^ n$$. Zbl 0849.35028
Zou, Henghui
1995
Non-existence of positive solutions of semilinear elliptic systems. Zbl 0900.35121
Serrin, James; Zou, Henghui
1994
Classification of positive solutions of quasilinear elliptic equations. Zbl 0813.35019
Serrin, James; Zou, Henghui
1994
On the effect of the domain geometry on uniqueness of positive solutions of $$\Delta u+ u^ p=0$$. Zbl 0815.35031
Zou, Henghui
1994
Asymptotic integration of second order systems. Zbl 0815.34038
Serrin, James; Zou, Henghui
1994
Existence and non-existence results for ground states of quasilinear elliptic equations. Zbl 0795.35027
Serrin, James; Zou, Henghui
1992
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### Cited by 615 Authors

 13 Bidaut-Veron, Marie-Françoise 13 Guo, Zongming 11 Véron, Laurent 11 Zou, Henghui 10 Filippucci, Roberta 10 Lei, Yutian 10 Mitidieri, Enzo Luigi 10 Sciunzi, Berardino 10 Souplet, Philippe 9 Dancer, Edward Norman 9 Duong, Anh Tuan 9 García-Huidobro, Marta 9 Sirakov, Boyan Slavchev 9 Villavert, John 8 Damascelli, Lucio 8 Dolbeault, Jean 8 Farina, Alberto 8 Khalique, Chaudry Masood 8 Quaas, Alexander 8 Yin, Jingxue 7 Li, Congming 7 Muatjetjeja, Ben 7 Phan, Quoc Hung 7 Reichel, Wolfgang 6 Brock, Friedemann 6 D’Ambrosio, Lorenzo 6 Galakhov, Evgeniĭ Igorevich 6 García-Melián, Jorge 6 Lorca, Sebastian Antonio 6 Quittner, Pavol 6 Rigoli, Marco 6 Santos, Carlos Alberto P. 6 Yu, Xiaohui 6 Zhang, Jihui 5 Iturriaga, Leonelo 5 Montoro, Luigi 5 Pacella, Filomena 5 Pucci, Patrizia 5 Salieva, Olga Alekseevna 5 Yang, Zuodong 5 Zhang, Zhitao 4 Alves, Claudianor Oliveira 4 Burgos-Pérez, M. Á. 4 Chen, Shaohua 4 Cheng, Ze 4 Franca, Matteo 4 Il’yasov, Yavdat Shavkatovich 4 Li, Zhenjie 4 Liang, Sihua 4 Liskevich, Vitaliĭ A. 4 Miyagaki, Olimpio Hiroshi 4 Mohammed, Ahmed 4 Pardo, Rosa M. 4 Pigola, Stefano 4 Serrin, James 4 Setti, Alberto G. 4 Shi, Junping 4 Sun, Yuhua 4 Ubilla, Pedro 4 Vétois, Jérôme 4 Wan, FangShu 4 Zeng, Xianzhong 4 Zhang, Zhengce 3 Alarcón, Salomón 3 Ben Mabrouk, Anouar 3 Bhakta, Mousomi 3 Borghol, Rouba 3 Bozhkov, Yuri Dimitrov 3 Cao, Yang 3 Caristi, Gabriella 3 Dai, Qiuyi 3 Esteban, Maria J. 3 Felmer, Patricio L. 3 Ghergu, Marius 3 Gu, Yonggeng 3 Huang, Rui 3 Leite, Edir Junior Ferreira 3 Li, Fengquan 3 Li, Kui 3 Li, Xiaohong 3 Lyberopoulos, Athanasios N. 3 Ma, Pei 3 Manasevich, Raul F. 3 McKenna, Patrick Joseph 3 Mei, Linfeng 3 Miyamoto, Yasuhito 3 Moroz, Vitaly 3 Motreanu, Dumitru 3 Mtiri, Foued 3 Niu, Pengcheng 3 Pokhozhaev, Stanislav I. 3 Poláčik, Peter 3 Salvatori, Maura 3 Tanaka, Mieko 3 Verbitsky, Igor E. 3 Vignati, Marco 3 Volkwein, Stefan 3 Weth, Tobias 3 Xu, Runzhang 3 Yan, Xiaodong ...and 515 more Authors
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### Cited in 131 Serials

 62 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 60 Journal of Mathematical Analysis and Applications 59 Journal of Differential Equations 21 Discrete and Continuous Dynamical Systems 18 Calculus of Variations and Partial Differential Equations 18 Communications on Pure and Applied Analysis 16 Journal of Functional Analysis 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 15 Communications in Partial Differential Equations 10 Complex Variables and Elliptic Equations 9 Applicable Analysis 9 Proceedings of the American Mathematical Society 9 Transactions of the American Mathematical Society 9 NoDEA. Nonlinear Differential Equations and Applications 9 Advanced Nonlinear Studies 9 Boundary Value Problems 8 Applied Mathematics and Computation 8 Mathematische Annalen 8 Nonlinear Analysis. Real World Applications 8 Advances in Nonlinear Analysis 7 Advances in Mathematics 7 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Acta Mathematica Sinica. English Series 5 Archive for Rational Mechanics and Analysis 5 Mathematical Notes 5 Journal of Mathematical Sciences (New York) 4 Revista Matemática Iberoamericana 4 Applied Mathematics Letters 4 Potential Analysis 4 Milan Journal of Mathematics 4 Mediterranean Journal of Mathematics 4 Science China. Mathematics 3 Communications in Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Abstract and Applied Analysis 3 Communications in Nonlinear Science and Numerical Simulation 3 Communications in Contemporary Mathematics 3 Differential Equations 3 Advances in Difference Equations 3 Proceedings of the Steklov Institute of Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Physics 2 Nonlinearity 2 Physica A 2 Rocky Mountain Journal of Mathematics 2 Acta Mathematica 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Manuscripta Mathematica 2 Monatshefte für Mathematik 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 COMPEL 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Mathematical Chemistry 2 Doklady Mathematics 2 Journal of Inequalities and Applications 2 Annales Henri Poincaré 2 Journal of Evolution Equations 2 Journal of Applied Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Anais da Academia Brasileira de Ciências 1 Collectanea Mathematica 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Numerische Mathematik 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Siberian Mathematical Journal 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Asymptotic Analysis 1 Forum Mathematicum 1 Science in China. Series A 1 International Journal of Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Geometric and Functional Analysis. GAFA 1 Computational Mathematics and Mathematical Physics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Computational Optimization and Applications 1 The Journal of Analysis 1 Topological Methods in Nonlinear Analysis 1 Electronic Journal of Differential Equations (EJDE) ...and 31 more Serials
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### Cited in 27 Fields

 547 Partial differential equations (35-XX) 36 Ordinary differential equations (34-XX) 32 Global analysis, analysis on manifolds (58-XX) 27 Integral equations (45-XX) 21 Operator theory (47-XX) 13 Potential theory (31-XX) 11 Biology and other natural sciences (92-XX) 8 Differential geometry (53-XX) 7 Real functions (26-XX) 7 Numerical analysis (65-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Functional analysis (46-XX) 4 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX)