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## Han, Pigong

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 Author ID: han.pigong Published as: Han, P.; Han, Pigong
 Documents Indexed: 55 Publications since 2000 Reviewing Activity: 18 Reviews

#### Co-Authors

 33 single-authored 11 Liu, Zhaoxia 7 Cao, Daomin 2 He, Cheng 1 Schonbek, Maria Elena 1 Zhao, Junning
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#### Serials

 6 Journal of Differential Equations 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Mathematical Analysis and Applications 3 Journal of Functional Analysis 2 Applicable Analysis 2 Israel Journal of Mathematics 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics Letters 2 Differential and Integral Equations 2 Calculus of Variations and Partial Differential Equations 2 Journal of Mathematical Fluid Mechanics 2 Portugaliae Mathematica. Nova Série 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Houston Journal of Mathematics 1 Advances in Mathematics 1 Manuscripta Mathematica 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Journal of Xiamen University. Natural Science 1 Applications of Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Partial Differential Equations 1 Opuscula Mathematica 1 Advances in Differential Equations 1 Journal of Inequalities and Applications 1 Journal of Mathematical Study 1 Journal of Evolution Equations 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Guangzhou University. Natural Science Edition
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#### Fields

 55 Partial differential equations (35-XX) 22 Fluid mechanics (76-XX) 7 Operator theory (47-XX) 5 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

42 Publications have been cited 534 times in 288 Documents Cited by Year
Solutions for semilinear elliptic equations with critical exponents and Hardy potential. Zbl 1154.35346
Cao, Daomin; Han, Pigong
2004
Solutions to critical elliptic equations with multi-singular inverse square potentials. Zbl 1198.35086
Cao, Daomin; Han, Pigong
2006
Quasilinear elliptic problems with critical exponents and Hardy terms. Zbl 1210.35021
Han, Pigong
2005
The effect of the domain topology on the number of positive solutions of an elliptic system involving critical Sobolev exponents. Zbl 1200.35116
Han, Pigong
2006
Existence of solutions for singular elliptic systems with critical exponents. Zbl 1156.35021
Liu, Zhaoxia; Han, Pigong
2008
Asymptotic behavior of solutions to semilinear elliptic equations with Hardy potential. Zbl 1173.35061
Han, Pigong
2007
Asymptotic behavior for the Stokes flow and Navier-Stokes equations in half spaces. Zbl 1200.35216
Han, Pigong
2010
Positive solutions for elliptic equations involving critical Sobolev exponents and Hardy terms with Neumann boundary conditions. Zbl 1074.35534
Han, Pigong; Liu, Zhaoxia
2003
Long-time behavior for the nonstationary Navier-Stokes flows in $$L^1(\mathbb R_+^n)$$. Zbl 1293.35205
Han, Pigong
2014
Decay results of solutions to the incompressible Navier-Stokes flows in a half space. Zbl 1211.35215
Han, Pigong
2011
High-energy positive solutions for a critical growth Dirichlet problem in noncontractible domains. Zbl 1274.35105
Han, Pigong
2005
Decay properties of solutions to the incompressible magnetohydrodynamics equations in a half space. Zbl 1248.35160
Han, Pigong; He, Cheng
2012
Weighted decay properties for the incompressible Stokes flow and Navier-Stokes equations in a half space. Zbl 1248.35146
Han, Pigong
2012
Infinitely many solutions for elliptic systems with critical exponents. Zbl 1169.35022
Liu, Zhaoxia; Han, Pigong
2009
Multiple positive solutions of nonhomogeneous elliptic systems involving critical Sobolev exponents. Zbl 1208.35046
Han, Pigong
2006
Weighted spatial decay rates for the Navier-Stokes flows in a half space. Zbl 1293.35206
Han, Pigong
2014
Multiple positive solutions of strongly indefinite systems with critical Sobolev exponents and data that change sign. Zbl 1163.35376
Han, Pigong; Liu, Zhaoxia
2004
Large time behavior for the nonstationary Navier-Stokes flows in the half-space. Zbl 1328.35169
Han, Pigong
2016
Multiple solutions to singular critical elliptic equations. Zbl 1138.35016
Han, Pigong
2006
Multiple positive solutions for a critical growth problem with Hardy potential. Zbl 1219.35097
Han, Pigong
2006
Algebraic $$L^2$$ decay for weak solutions of a viscous Boussinesq system in exterior domains. Zbl 1273.35210
Han, Pigong
2012
Solutions for a singular critical growth problem with a weight. Zbl 1156.35379
Han, Pigong; Liu, Zhaoxia
2007
Many solutions for elliptic equations with critical exponents. Zbl 1157.35369
Han, Pigong
2008
Large time decay properties of solutions to a viscous Boussinesq system in a half space. Zbl 1286.35206
Han, Pigong; Schonbek, Maria E.
2014
Decay rates for the incompressible Navier-Stokes flows in 3D exterior domains. Zbl 1256.35058
Han, Pigong
2012
Large time behavior for the incompressible Navier-Stokes flows in 2D exterior domains. Zbl 1248.35145
Han, Pigong
2012
Solutions for singular critical growth Schrödinger equations with magnetic field. Zbl 1153.35030
Han, Pigong
2006
Weighted decay results for the nonstationary Stokes flow and Navier-Stokes equations in half spaces. Zbl 1326.35272
Han, Pigong
2015
High energy positive solutions of Neumann problem for an elliptic system of equations with critical nonlinearities. Zbl 1331.35140
Cao, Daomin; Han, Pigong
2006
Strongly indefinite systems with critical Sobolev exponents and weights. Zbl 1122.35327
Han, Pigong
2004
Multiple positive solutions of nonhomogeneous elliptic systems with strongly indefinite structure and critical Sobolev exponents. Zbl 1109.35037
Cao, Daomin; Han, Pigong
2004
Solutions to nonlinear Neumann problems with an inverse square potential. Zbl 1193.35073
Han, Pigong; Liu, Zhaoxia
2007
Decay results of higher-order norms for the Navier-Stokes flows in 3D exterior domains. Zbl 1309.35054
Han, Pigong
2015
Inhomogeneous critical nonlinear Schrödinger equations with a harmonic potential. Zbl 1310.35211
Cao, Daomin; Han, Pigong
2010
The sign-changing solutions for singular critical growth semilinear elliptic equations with a weight. Zbl 1150.35392
Han, Pigong; Liu, Zhaoxia
2004
Partial regularity of suitable weak solutions to the four-dimensional incompressible magneto-hydrodynamic equations. Zbl 1256.35081
Han, Pigong; He, Cheng
2012
Regularity of weak solutions to 3D incompressible Navier-Stokes equations. Zbl 1239.35110
Han, Pigong
2010
Regularity and decay properties of weak solutions to Navier-Stokes equations in general domains. Zbl 1185.35164
Han, Pigong
2010
Decay results of the nonstationary Navier-Stokes flows in half-spaces. Zbl 1432.35162
Han, Pigong
2018
On weighted estimates for the Stokes flows, with application to the Navier-Stokes equations. Zbl 1401.35251
Han, Pigong
2018
Asymptotic behavior of positive solutions for nonlinear elliptic systems with critical exponents. Zbl 1142.35025
Liu, Z.; Han, P.
2007
A note on the positive energy solutions for elliptic equations involving critical Sobolev exponents. Zbl 1040.35023
Cao, Daomin; Han, Pigong
2003
Decay results of the nonstationary Navier-Stokes flows in half-spaces. Zbl 1432.35162
Han, Pigong
2018
On weighted estimates for the Stokes flows, with application to the Navier-Stokes equations. Zbl 1401.35251
Han, Pigong
2018
Large time behavior for the nonstationary Navier-Stokes flows in the half-space. Zbl 1328.35169
Han, Pigong
2016
Weighted decay results for the nonstationary Stokes flow and Navier-Stokes equations in half spaces. Zbl 1326.35272
Han, Pigong
2015
Decay results of higher-order norms for the Navier-Stokes flows in 3D exterior domains. Zbl 1309.35054
Han, Pigong
2015
Long-time behavior for the nonstationary Navier-Stokes flows in $$L^1(\mathbb R_+^n)$$. Zbl 1293.35205
Han, Pigong
2014
Weighted spatial decay rates for the Navier-Stokes flows in a half space. Zbl 1293.35206
Han, Pigong
2014
Large time decay properties of solutions to a viscous Boussinesq system in a half space. Zbl 1286.35206
Han, Pigong; Schonbek, Maria E.
2014
Decay properties of solutions to the incompressible magnetohydrodynamics equations in a half space. Zbl 1248.35160
Han, Pigong; He, Cheng
2012
Weighted decay properties for the incompressible Stokes flow and Navier-Stokes equations in a half space. Zbl 1248.35146
Han, Pigong
2012
Algebraic $$L^2$$ decay for weak solutions of a viscous Boussinesq system in exterior domains. Zbl 1273.35210
Han, Pigong
2012
Decay rates for the incompressible Navier-Stokes flows in 3D exterior domains. Zbl 1256.35058
Han, Pigong
2012
Large time behavior for the incompressible Navier-Stokes flows in 2D exterior domains. Zbl 1248.35145
Han, Pigong
2012
Partial regularity of suitable weak solutions to the four-dimensional incompressible magneto-hydrodynamic equations. Zbl 1256.35081
Han, Pigong; He, Cheng
2012
Decay results of solutions to the incompressible Navier-Stokes flows in a half space. Zbl 1211.35215
Han, Pigong
2011
Asymptotic behavior for the Stokes flow and Navier-Stokes equations in half spaces. Zbl 1200.35216
Han, Pigong
2010
Inhomogeneous critical nonlinear Schrödinger equations with a harmonic potential. Zbl 1310.35211
Cao, Daomin; Han, Pigong
2010
Regularity of weak solutions to 3D incompressible Navier-Stokes equations. Zbl 1239.35110
Han, Pigong
2010
Regularity and decay properties of weak solutions to Navier-Stokes equations in general domains. Zbl 1185.35164
Han, Pigong
2010
Infinitely many solutions for elliptic systems with critical exponents. Zbl 1169.35022
Liu, Zhaoxia; Han, Pigong
2009
Existence of solutions for singular elliptic systems with critical exponents. Zbl 1156.35021
Liu, Zhaoxia; Han, Pigong
2008
Many solutions for elliptic equations with critical exponents. Zbl 1157.35369
Han, Pigong
2008
Asymptotic behavior of solutions to semilinear elliptic equations with Hardy potential. Zbl 1173.35061
Han, Pigong
2007
Solutions for a singular critical growth problem with a weight. Zbl 1156.35379
Han, Pigong; Liu, Zhaoxia
2007
Solutions to nonlinear Neumann problems with an inverse square potential. Zbl 1193.35073
Han, Pigong; Liu, Zhaoxia
2007
Asymptotic behavior of positive solutions for nonlinear elliptic systems with critical exponents. Zbl 1142.35025
Liu, Z.; Han, P.
2007
Solutions to critical elliptic equations with multi-singular inverse square potentials. Zbl 1198.35086
Cao, Daomin; Han, Pigong
2006
The effect of the domain topology on the number of positive solutions of an elliptic system involving critical Sobolev exponents. Zbl 1200.35116
Han, Pigong
2006
Multiple positive solutions of nonhomogeneous elliptic systems involving critical Sobolev exponents. Zbl 1208.35046
Han, Pigong
2006
Multiple solutions to singular critical elliptic equations. Zbl 1138.35016
Han, Pigong
2006
Multiple positive solutions for a critical growth problem with Hardy potential. Zbl 1219.35097
Han, Pigong
2006
Solutions for singular critical growth Schrödinger equations with magnetic field. Zbl 1153.35030
Han, Pigong
2006
High energy positive solutions of Neumann problem for an elliptic system of equations with critical nonlinearities. Zbl 1331.35140
Cao, Daomin; Han, Pigong
2006
Quasilinear elliptic problems with critical exponents and Hardy terms. Zbl 1210.35021
Han, Pigong
2005
High-energy positive solutions for a critical growth Dirichlet problem in noncontractible domains. Zbl 1274.35105
Han, Pigong
2005
Solutions for semilinear elliptic equations with critical exponents and Hardy potential. Zbl 1154.35346
Cao, Daomin; Han, Pigong
2004
Multiple positive solutions of strongly indefinite systems with critical Sobolev exponents and data that change sign. Zbl 1163.35376
Han, Pigong; Liu, Zhaoxia
2004
Strongly indefinite systems with critical Sobolev exponents and weights. Zbl 1122.35327
Han, Pigong
2004
Multiple positive solutions of nonhomogeneous elliptic systems with strongly indefinite structure and critical Sobolev exponents. Zbl 1109.35037
Cao, Daomin; Han, Pigong
2004
The sign-changing solutions for singular critical growth semilinear elliptic equations with a weight. Zbl 1150.35392
Han, Pigong; Liu, Zhaoxia
2004
Positive solutions for elliptic equations involving critical Sobolev exponents and Hardy terms with Neumann boundary conditions. Zbl 1074.35534
Han, Pigong; Liu, Zhaoxia
2003
A note on the positive energy solutions for elliptic equations involving critical Sobolev exponents. Zbl 1040.35023
Cao, Daomin; Han, Pigong
2003
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#### Cited by 284 Authors

 31 Kang, Dongsheng 25 Han, Pigong 16 Liu, Zhaoxia 10 Hsu, TsingSan 10 Peng, Shuangjie 9 Guo, Qianqiao 7 Niu, Pengcheng 7 Tang, Chun-Lei 5 Chabrowski, Jan H. 5 Deng, Zhiying 5 Huang, Yisheng 5 Khiddi, Mustapha 5 Liang, Sihua 5 Nyamoradi, Nemat 5 Pucci, Patrizia 5 Wang, Chunhua 5 Yang, Jing 4 Ding, Ling 4 Guo, Yuxia 4 Lin, Hueili 4 Tang, Chunlei 3 Bartsch, Thomas J. 3 Cao, Daomin 3 Fan, Haining 3 Jia, Yan 3 Li, Huiyuan 3 Li, Yuanyuan 3 Moreira dos Santos, Ederson 3 Robert, Frédéric 3 Ruf, Bernhard 3 Sang, Yanbin 3 Shang, Yanying 3 Shioji, Naoki 3 Tang, Zhongwei 3 Wu, Xingping 3 Xie, Qianqian 3 Zhang, Binlin 3 Zhang, Jihui 3 Zhang, Zhimin 3 Zou, Wenming 2 Benmouloud, Samira 2 Bhakta, Mousomi 2 Bouchekif, Mohammed 2 Chang, Tongkeun 2 Chen, Guanwei 2 Chen, Jianqing 2 Chen, Zhijie 2 Cheng, Xiyou 2 Chu, Changmu 2 Ding, Yanheng 2 Dong, Boqing 2 Felli, Veronica 2 Fiscella, Alessio 2 Furtado, Marcelo Fernandes 2 Gao, Fengshuang 2 Ghoussoub, Nassif A. 2 Guo, Zhenyu V. 2 He, Cheng 2 Huang, Yan 2 Isaryuk, Inna M. 2 Jin, Bum Ja 2 Jiu, Quansen 2 Ke, Yuanyuan 2 Khaldi, Brahim 2 Khalique, Chaudry Masood 2 Kim, Jaemyoung 2 Li, Jinkai 2 Liao, Jiafeng 2 Liu, Haidong 2 Liu, Wenbin 2 Liu, Xiaonan 2 Liu, Yuji 2 Liu, Zhongyuan 2 Loiudice, Annunziata 2 Lü, Dengfeng 2 Ma, Suna 2 Muatjetjeja, Ben 2 Peng, Yanfang 2 Pukal’s’kyĭ, Ivan D. 2 Qin, Yuming 2 Rădulescu, Vicenţiu D. 2 Santra, Sanjiban 2 Saoudi, Kamel 2 Shen, Liejun 2 Silva, Elves A. B. 2 Squassina, Marco 2 Tang, Xianhua 2 Wang, Yanqing 2 Wei, Qiaoling 2 Xavier, Magda S. 2 Xiang, Changlin 2 Xuan, Benjin 2 Yan, Shusen 2 Yang, Jianfu 2 Yang, Minbo 2 Yao, Zhengan 2 Yin, Jingxue 2 Yu, Xingjiang 2 Zhang, Jianlin 2 Zhu, Mingxuan ...and 184 more Authors
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#### Cited in 80 Serials

 47 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 36 Journal of Mathematical Analysis and Applications 17 Journal of Differential Equations 13 Boundary Value Problems 9 Abstract and Applied Analysis 8 Applied Mathematics Letters 7 Computers & Mathematics with Applications 7 Journal of Mathematical Physics 7 Mathematical Methods in the Applied Sciences 6 Communications in Contemporary Mathematics 5 Acta Mathematicae Applicatae Sinica. English Series 5 Calculus of Variations and Partial Differential Equations 5 Nonlinear Analysis. Real World Applications 4 Applicable Analysis 4 Ukrainian Mathematical Journal 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Journal of Functional Analysis 4 Discrete and Continuous Dynamical Systems 4 Mediterranean Journal of Mathematics 4 Complex Variables and Elliptic Equations 4 Science China. Mathematics 3 Journal d’Analyse Mathématique 3 Applied Mathematics and Computation 3 Manuscripta Mathematica 3 NoDEA. Nonlinear Differential Equations and Applications 3 Acta Mathematica Sinica. English Series 3 Advanced Nonlinear Studies 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Advances in Nonlinear Analysis 2 Archive for Rational Mechanics and Analysis 2 Israel Journal of Mathematics 2 Mathematische Nachrichten 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of Inequalities and Applications 2 Journal of Mathematical Fluid Mechanics 2 Communications on Pure and Applied Analysis 2 Tbilisi Mathematical Journal 2 Differential Equations and Applications 1 Communications in Mathematical Physics 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Indiana University Mathematics Journal 1 Journal of the Korean Mathematical Society 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Ricerche di Matematica 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Korean Mathematical Society 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 International Journal of Mathematics 1 Applications of Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 SIAM Journal on Scientific Computing 1 Topological Methods in Nonlinear Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Bulletin des Sciences Mathématiques 1 Complexity 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Taiwanese Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of the Australian Mathematical Society 1 Portugaliae Mathematica. Nova Série 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Milan Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Nonlinear Science and Applications 1 International Journal of Differential Equations 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Bulletin of Mathematical Sciences 1 Arabian Journal of Mathematics 1 Mathematical Sciences 1 Journal of Function Spaces 1 Sahand Communications in Mathematical Analysis 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 SN Partial Differential Equations and Applications
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#### Cited in 19 Fields

 283 Partial differential equations (35-XX) 40 Fluid mechanics (76-XX) 14 Operator theory (47-XX) 14 Global analysis, analysis on manifolds (58-XX) 8 Ordinary differential equations (34-XX) 4 Numerical analysis (65-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Systems theory; control (93-XX)