## Shen, Zifei

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 Author ID: shen.zifei Published as: Shen, Zifei; Shen, Zi Fei; Shen, Zi-fei; Shen, Zi-Fei
 Documents Indexed: 84 Publications since 1987 Co-Authors: 47 Co-Authors with 77 Joint Publications 938 Co-Co-Authors
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### Co-Authors

 6 single-authored 28 Yang, Minbo 7 Qian, Chenyin 6 Gao, Fashun 4 Cheng, Xiaoli 4 Wang, Yuanheng 4 Wu, Xian 4 Zheng, Yu 3 Chang, Gao 3 Jin, Ke 3 Li, Shuoshuo 2 Ding, Yanheng 2 Fan, Weifeng 2 Hu, Xiaoxiao 2 Khine, Min Min Oo 2 Tang, Shengzhong 2 Wan, Songqiang 2 Wang, Lushun 2 Yu, Youli 2 Zhou, Fen 1 Chang, Shih-Sen 1 Chen, Fengjuan 1 Cheng, Zhipeng 1 Feng, Pengtao 1 Gu, Qiuting 1 Han, Ying 1 Hua, Jie 1 Jiang, Zhongzhang 1 Kong, Lihua 1 Liu, Zhen 1 Meng, Li 1 Rădulescu, Vicenţiu D. 1 Santos, Carlos Alberto P. 1 Shan, Haili 1 Shang, Bin 1 Shen, Hui 1 Wang, Gaosong 1 Wang, Guiyun 1 Wang, Yaqin 1 Wu, Bo 1 Wu, Lu 1 Zhao, Jinglin 1 Zhao, Shunneng 1 Zhou, Jiazheng 1 Zhou, Qingfei 1 Zhou, Yangfeng 1 Zhu, Junqiao 1 Zhu, Wanzhen
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### Serials

 13 Journal of Zhejiang Normal University. Natural Sciences 10 Advances in Mathematics 8 Journal of Mathematical Analysis and Applications 8 Acta Analysis Functionalis Applicata. AAFA 4 Mathematical Methods in the Applied Sciences 4 Chinese Annals of Mathematics. Series B 3 Acta Mathematica Sinica 3 Nonlinear Analysis. Real World Applications 2 Computers & Mathematics with Applications 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Chinese Annals of Mathematics. Series A 2 Topological Methods in Nonlinear Analysis 2 Abstract and Applied Analysis 1 Journal of Mathematical Physics 1 Applied Mathematics and Computation 1 Computing 1 Journal of the Mathematical Society of Japan 1 Topology and its Applications 1 Mathematics in Practice and Theory 1 Journal of Systems Science and Mathematical Sciences 1 Applied Mathematics Letters 1 Mathematica Applicata 1 Discrete and Continuous Dynamical Systems 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Journal of Mathematical Study 1 Acta Mathematica Sinica. English Series 1 Journal of Tianjin Normal University. Natural Science Edition 1 Communications on Pure and Applied Analysis 1 Chinese Journal of Contemporary Mathematics 1 Complex Variables and Elliptic Equations 1 Acta Mathematica Sinica. Chinese Series 1 Journal of Hangzhou Normal University. Natural Sciences Edition
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### Fields

 58 Partial differential equations (35-XX) 21 Operator theory (47-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 7 Global analysis, analysis on manifolds (58-XX) 4 Operations research, mathematical programming (90-XX) 3 General topology (54-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 1 Real functions (26-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

33 Publications have been cited 211 times in 179 Documents Cited by Year
Ground states for nonlinear fractional Choquard equations with general nonlinearities. Zbl 1344.35168
Shen, Zifei; Gao, Fashun; Yang, Minbo
2016
Multiple semiclassical solutions for the nonlinear Maxwell-Schrödinger system. Zbl 1171.35478
Yang, Minbo; Shen, Zifei; Ding, Yanheng
2009
Maximal element theorems of H-majorized correspondence and existence of equilibrium for abstract economies. Zbl 0994.91009
Shen, Zifei
2001
On critical Choquard equation with potential well. Zbl 1398.35064
Shen, Zifei; Gao, Fashun; Yang, Minbo
2018
An interval version of Shubert’s iterative method for the localization of the global maximum. Zbl 0602.65040
Shen, Z.; Zhu, Y.
1987
Existence and multiplicity of solutions for $$p(x)$$-Laplacian equation with nonsmooth potential. Zbl 1181.35119
Qian, Chenyin; Shen, Zifei
2010
Multiple solutions for nonhomogeneous Choquard equation involving Hardy-Littlewood-Sobolev critical exponent. Zbl 1375.35146
Shen, Zifei; Gao, Fashun; Yang, Minbo
2017
Infinitely many solutions for a class of fourth order elliptic equations in $$\mathbb R^N$$. Zbl 1154.35335
Yang, Minbo; Shen, Zifei
2008
Multiplicity of solutions for a nonlocal nonhomogeneous elliptic equation with critical exponential growth. Zbl 1418.35108
Li, Shuoshuo; Shen, Zifei; Yang, Minbo
2019
Nontrivial solutions for Hardy-Sobolev critical elliptic equations. Zbl 1124.35315
Shen, Zi Fei; Yang, Min Bo
2005
Existence of solutions for $$p(x)$$-Laplacian nonhomogeneous Neumann problems with indefinite weight. Zbl 1181.35120
Qian, Chenyin; Shen, Zifei; Yang, Minbo
2010
The effect of domain topology on the number of positive solutions for singular elliptic problems involving the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1157.35044
Yang, Minbo; Shen, Zifei
2007
On a class of infinite-dimensional Hamiltonian systems with asymptotically periodic nonlinearities. Zbl 1211.35248
Yang, Minbo; Shen, Zifei; Ding, Yanheng
2011
Economic equilibrium theorems of Shafer-Sonnenschein version and nonempty intersection theorems in interval spaces. Zbl 0832.90012
Chang, Shihsen; Wu, Xian; Shen, Zifei
1995
On the existence of solutions for the critical fractional Laplacian equation in $$\mathbb{R}^N$$. Zbl 1470.35411
Shen, Zifei; Gao, Fashun
2014
On Ky Fan’s minimax inequality. Zbl 1054.49500
Wu, Xian; Shen, Zifei
1998
The average diameter of general tree structures. Zbl 0951.68040
Shen, Z.
1998
A mathematical model for mesh’s dynamic behavior. Zbl 0812.68080
Shen, Z.
1994
Instability of standing waves for a generalized Choquard equation with potential. Zbl 1359.35177
Cheng, Zhipeng; Shen, Zifei; Yang, Minbo
2017
On a class of coupled critical Hartree system with deepening potential. Zbl 1472.35140
Zheng, Yu; Gao, Fashun; Shen, Zifei; Yang, Minbo
2021
Least energy solutions for coupled Hartree system with Hardy-Littlewood-Sobolev critical exponents. Zbl 1427.35066
Zheng, Yu; Santos, Carlos A.; Shen, Zifei; Yang, Minbo
2020
Existence of a radial solution to a 1-Laplacian problem in $$\mathbb{R}^N$$. Zbl 1479.35500
Zhou, Fen; Shen, Zifei
2021
Existence of solutions for a fractional Laplacian equation with critical nonlinearity. Zbl 1470.35412
Shen, Zifei; Gao, Fashun
2013
Equilibrium of abstract economy and generalized quasi-variational inequality in $$H$$-spaces. Zbl 1084.91036
Wu, Xian; Shen, Zi-Fei
2005
Multiplicity result for quasilinear elliptic systems with Neumann boundary condition. Zbl 1129.35361
Yang, Minbo; Shen, Zifei
2005
Multiplicity results for a differential inclusion problem with non-standard growth. Zbl 1234.35082
Qian, Chenyin; Shen, Zifei; Zhu, Junqiao
2012
Infinitely many solutions for a Kirchhoff-type problem with non-standard growth and indefinite weight. Zbl 1323.35017
Shen, Zifei; Qian, Chenyin
2015
Exponential asymptotic property of a parallel repairable system with warm standby under common-cause failure. Zbl 1245.90023
Shen, Zifei; Hu, Xiaoxiao; Fan, Weifeng
2008
Existence of global solutions and attractors for the parabolic equation with critical Sobolev and Hardy exponent in $$\mathbb{R}^N$$. Zbl 06889438
Qian, Chenyin; Shen, Zifei
2018
Existence theorems for maximal elements in noncompact $$H$$-spaces and their applications. Zbl 1012.49006
Shen, Zifei
1999
Generalized Schauder bases and the generalized topological degree for generalized A-proper mappings in Banach spaces. Zbl 1045.46005
Wang, Yuanheng; Shen, Zifei
2003
Existence of nontrivial solutions for $$p$$-Laplacian variational inclusion systems in $$\mathbb R^N$$. Zbl 1298.35065
Shen, Zifei; Wan, Songqiang
2011
On critical pseudo-relativistic Hartree equation with potential well. Zbl 1437.35325
Zheng, Yu; Yang, Minbo; Shen, Zifei
2020
On a class of coupled critical Hartree system with deepening potential. Zbl 1472.35140
Zheng, Yu; Gao, Fashun; Shen, Zifei; Yang, Minbo
2021
Existence of a radial solution to a 1-Laplacian problem in $$\mathbb{R}^N$$. Zbl 1479.35500
Zhou, Fen; Shen, Zifei
2021
Least energy solutions for coupled Hartree system with Hardy-Littlewood-Sobolev critical exponents. Zbl 1427.35066
Zheng, Yu; Santos, Carlos A.; Shen, Zifei; Yang, Minbo
2020
On critical pseudo-relativistic Hartree equation with potential well. Zbl 1437.35325
Zheng, Yu; Yang, Minbo; Shen, Zifei
2020
Multiplicity of solutions for a nonlocal nonhomogeneous elliptic equation with critical exponential growth. Zbl 1418.35108
Li, Shuoshuo; Shen, Zifei; Yang, Minbo
2019
On critical Choquard equation with potential well. Zbl 1398.35064
Shen, Zifei; Gao, Fashun; Yang, Minbo
2018
Existence of global solutions and attractors for the parabolic equation with critical Sobolev and Hardy exponent in $$\mathbb{R}^N$$. Zbl 06889438
Qian, Chenyin; Shen, Zifei
2018
Multiple solutions for nonhomogeneous Choquard equation involving Hardy-Littlewood-Sobolev critical exponent. Zbl 1375.35146
Shen, Zifei; Gao, Fashun; Yang, Minbo
2017
Instability of standing waves for a generalized Choquard equation with potential. Zbl 1359.35177
Cheng, Zhipeng; Shen, Zifei; Yang, Minbo
2017
Ground states for nonlinear fractional Choquard equations with general nonlinearities. Zbl 1344.35168
Shen, Zifei; Gao, Fashun; Yang, Minbo
2016
Infinitely many solutions for a Kirchhoff-type problem with non-standard growth and indefinite weight. Zbl 1323.35017
Shen, Zifei; Qian, Chenyin
2015
On the existence of solutions for the critical fractional Laplacian equation in $$\mathbb{R}^N$$. Zbl 1470.35411
Shen, Zifei; Gao, Fashun
2014
Existence of solutions for a fractional Laplacian equation with critical nonlinearity. Zbl 1470.35412
Shen, Zifei; Gao, Fashun
2013
Multiplicity results for a differential inclusion problem with non-standard growth. Zbl 1234.35082
Qian, Chenyin; Shen, Zifei; Zhu, Junqiao
2012
On a class of infinite-dimensional Hamiltonian systems with asymptotically periodic nonlinearities. Zbl 1211.35248
Yang, Minbo; Shen, Zifei; Ding, Yanheng
2011
Existence of nontrivial solutions for $$p$$-Laplacian variational inclusion systems in $$\mathbb R^N$$. Zbl 1298.35065
Shen, Zifei; Wan, Songqiang
2011
Existence and multiplicity of solutions for $$p(x)$$-Laplacian equation with nonsmooth potential. Zbl 1181.35119
Qian, Chenyin; Shen, Zifei
2010
Existence of solutions for $$p(x)$$-Laplacian nonhomogeneous Neumann problems with indefinite weight. Zbl 1181.35120
Qian, Chenyin; Shen, Zifei; Yang, Minbo
2010
Multiple semiclassical solutions for the nonlinear Maxwell-Schrödinger system. Zbl 1171.35478
Yang, Minbo; Shen, Zifei; Ding, Yanheng
2009
Infinitely many solutions for a class of fourth order elliptic equations in $$\mathbb R^N$$. Zbl 1154.35335
Yang, Minbo; Shen, Zifei
2008
Exponential asymptotic property of a parallel repairable system with warm standby under common-cause failure. Zbl 1245.90023
Shen, Zifei; Hu, Xiaoxiao; Fan, Weifeng
2008
The effect of domain topology on the number of positive solutions for singular elliptic problems involving the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1157.35044
Yang, Minbo; Shen, Zifei
2007
Nontrivial solutions for Hardy-Sobolev critical elliptic equations. Zbl 1124.35315
Shen, Zi Fei; Yang, Min Bo
2005
Equilibrium of abstract economy and generalized quasi-variational inequality in $$H$$-spaces. Zbl 1084.91036
Wu, Xian; Shen, Zi-Fei
2005
Multiplicity result for quasilinear elliptic systems with Neumann boundary condition. Zbl 1129.35361
Yang, Minbo; Shen, Zifei
2005
Generalized Schauder bases and the generalized topological degree for generalized A-proper mappings in Banach spaces. Zbl 1045.46005
Wang, Yuanheng; Shen, Zifei
2003
Maximal element theorems of H-majorized correspondence and existence of equilibrium for abstract economies. Zbl 0994.91009
Shen, Zifei
2001
Existence theorems for maximal elements in noncompact $$H$$-spaces and their applications. Zbl 1012.49006
Shen, Zifei
1999
On Ky Fan’s minimax inequality. Zbl 1054.49500
Wu, Xian; Shen, Zifei
1998
The average diameter of general tree structures. Zbl 0951.68040
Shen, Z.
1998
Economic equilibrium theorems of Shafer-Sonnenschein version and nonempty intersection theorems in interval spaces. Zbl 0832.90012
Chang, Shihsen; Wu, Xian; Shen, Zifei
1995
A mathematical model for mesh’s dynamic behavior. Zbl 0812.68080
Shen, Z.
1994
An interval version of Shubert’s iterative method for the localization of the global maximum. Zbl 0602.65040
Shen, Z.; Zhu, Y.
1987
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### Cited by 223 Authors

 14 Yang, Minbo 13 Tang, Xianhua 9 Ding, Xie Ping 7 Zhang, Binlin 6 Li, Guidong 6 Li, Yong-Yong 6 Sreenadh, Konijeti 5 Shen, Zifei 5 Tang, Chun-Lei 5 Zhang, Jian 5 Zhang, Wen 4 Chen, Wenjing 4 Gao, Fashun 4 Mukherjee, Tuhina 4 Saanouni, Tarek 4 Tang, Chunlei 4 Zhao, Fukun 3 Ge, Bin 3 Hou, Jicheng 3 Huang, Nan-Jing 3 Liang, Sihua 3 Liu, Haidong 3 Rădulescu, Vicenţiu D. 3 Teng, Kaimin 3 Wu, Xian 3 Wu, Xingping 3 Xiang, Mingqi 3 Yang, Zhipeng 3 Zhao, Leiga 3 Zhou, Jiazheng 3 Zhou, Qingmei 2 Ambrosio, Vincenzo 2 Bueno, Hamilton P. 2 Chen, Haibo 2 Chen, Peng 2 Chen, Sitong 2 Chu, Liang-Ju 2 Cui, Ying-Xin 2 Deng, Lei 2 Deng, Shengbing 2 Ding, Ling 2 Du, Yan-Mei 2 Feng, Binhua 2 Giacomoni, Jacques 2 Goel, Divya 2 He, Xiaoming 2 Huang, Chien-Hao 2 Huang, Lihong 2 Huang, Wennian 2 Jiang, Yongsheng 2 Li, Quanqing 2 Luan, Liangyu 2 Qian, Chenyin 2 Wang, Fuliang 2 Wang, Qingxuan 2 Wang, Wenbo 2 Xu, Liping 2 Xue, Xiaoping 2 Ye, Yiwei 2 Yuan, Ziqing 2 Zhang, Jianjun 2 Zhang, Jihui 2 Zhang, Youpei 2 Zheng, Yu 2 Zhou, Huan-Song 1 Agarwal, Ravi P. 1 Albuquerque, Francisco S. B. Albuquerque 1 Alharbi, Majed Ghazi 1 Ao, Yong 1 Aouaoui, Sami 1 Bae, Jung-Hyun 1 Barboza, Eudes Mendes 1 Belchior, P. 1 Bin, Ge 1 Binlin, Zhang 1 Boureanu, Maria-Magdalena 1 Cao, Jiling 1 Cassani, Daniele 1 Chang, Gao 1 Chang, Shih-Sen 1 Chen, Guanwei 1 Chen, Jianqing 1 Chen, Shaoxiong 1 Chen, Siyu 1 Choudhuri, Debajyoti 1 Clemente, Rodrigo G. 1 Cui, Na 1 Da Silva, Edcarlos Domingos 1 D’Aguì, Giuseppina 1 de Albuquerque, José Carlos 1 de Araujo, Anderson Luis Albuquerque 1 Deng, Weibing 1 Deng, Zhiying 1 Dhifet, Mariem 1 Ding, Yanheng 1 Duan, Chunping 1 Duan, Lian 1 Echarghaoui, Rachid 1 Fan, Zian 1 Fang, Zhongbo ...and 123 more Authors
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### Cited in 61 Serials

 23 Journal of Mathematical Analysis and Applications 23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Journal of Mathematical Physics 8 Applied Mathematics Letters 7 Computers & Mathematics with Applications 6 Topological Methods in Nonlinear Analysis 6 Advances in Nonlinear Analysis 5 Journal of Differential Equations 5 Mediterranean Journal of Mathematics 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Applied Mathematics and Computation 4 Nonlinear Analysis. Real World Applications 4 Communications on Pure and Applied Analysis 4 Boundary Value Problems 3 Applicable Analysis 3 Applied Mathematics and Mechanics. (English Edition) 3 Discrete and Continuous Dynamical Systems 3 Abstract and Applied Analysis 2 Fuzzy Sets and Systems 2 The Journal of Geometric Analysis 2 Computational and Applied Mathematics 2 Acta Mathematica Sinica. English Series 2 Analysis and Mathematical Physics 2 Journal of Elliptic and Parabolic Equations 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Manuscripta Mathematica 1 Matematički Vesnik 1 Mathematische Nachrichten 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Topology and its Applications 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Potential Analysis 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Opuscula Mathematica 1 Mathematical Problems in Engineering 1 Journal of Inequalities and Applications 1 Communications in Contemporary Mathematics 1 Journal of Systems Science and Complexity 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 Milan Journal of Mathematics 1 Analysis in Theory and Applications 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Complex Variables and Elliptic Equations 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Mathematical Physics 1 Set-Valued and Variational Analysis 1 Science China. Mathematics 1 Journal of Applied Analysis and Computation 1 Journal of Function Spaces 1 Open Mathematics 1 AIMS Mathematics 1 SN Partial Differential Equations and Applications
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### Cited in 21 Fields

 147 Partial differential equations (35-XX) 22 Operator theory (47-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 General topology (54-XX) 8 Quantum theory (81-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Convex and discrete geometry (52-XX) 3 Operations research, mathematical programming (90-XX) 2 Functional analysis (46-XX) 2 Algebraic topology (55-XX) 2 Optics, electromagnetic theory (78-XX) 1 Mathematical logic and foundations (03-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)