Edit Profile (opens in new tab) Shen, Zifei Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1344.35168Shen, Zifei; Gao, Fashun; Yang, Minbo 50 2016 Multiple semiclassical solutions for the nonlinear Maxwell-Schrödinger system. Zbl 1171.35478Yang, Minbo; Shen, Zifei; Ding, Yanheng 20 2009 Maximal element theorems of H-majorized correspondence and existence of equilibrium for abstract economies. Zbl 0994.91009Shen, Zifei 17 2001 On critical Choquard equation with potential well. Zbl 1398.35064Shen, Zifei; Gao, Fashun; Yang, Minbo 15 2018 An interval version of Shubert’s iterative method for the localization of the global maximum. Zbl 0602.65040Shen, Z.; Zhu, Y. 11 1987 Existence and multiplicity of solutions for \(p(x)\)-Laplacian equation with nonsmooth potential. Zbl 1181.35119Qian, Chenyin; Shen, Zifei 11 2010 Multiple solutions for nonhomogeneous Choquard equation involving Hardy-Littlewood-Sobolev critical exponent. Zbl 1375.35146Shen, Zifei; Gao, Fashun; Yang, Minbo 11 2017 Infinitely many solutions for a class of fourth order elliptic equations in \(\mathbb R^N\). Zbl 1154.35335Yang, Minbo; Shen, Zifei 7 2008 Multiplicity of solutions for a nonlocal nonhomogeneous elliptic equation with critical exponential growth. Zbl 1418.35108Li, Shuoshuo; Shen, Zifei; Yang, Minbo 5 2019 Nontrivial solutions for Hardy-Sobolev critical elliptic equations. Zbl 1124.35315Shen, Zi Fei; Yang, Min Bo 5 2005 Existence of solutions for \(p(x)\)-Laplacian nonhomogeneous Neumann problems with indefinite weight. Zbl 1181.35120Qian, Chenyin; Shen, Zifei; Yang, Minbo 5 2010 The effect of domain topology on the number of positive solutions for singular elliptic problems involving the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1157.35044Yang, Minbo; Shen, Zifei 5 2007 On a class of infinite-dimensional Hamiltonian systems with asymptotically periodic nonlinearities. Zbl 1211.35248Yang, Minbo; Shen, Zifei; Ding, Yanheng 4 2011 Economic equilibrium theorems of Shafer-Sonnenschein version and nonempty intersection theorems in interval spaces. Zbl 0832.90012Chang, Shihsen; Wu, Xian; Shen, Zifei 4 1995 On the existence of solutions for the critical fractional Laplacian equation in \(\mathbb{R}^N\). Zbl 1470.35411Shen, Zifei; Gao, Fashun 4 2014 On Ky Fan’s minimax inequality. Zbl 1054.49500Wu, Xian; Shen, Zifei 3 1998 The average diameter of general tree structures. Zbl 0951.68040Shen, Z. 3 1998 A mathematical model for mesh’s dynamic behavior. Zbl 0812.68080Shen, Z. 3 1994 Instability of standing waves for a generalized Choquard equation with potential. Zbl 1359.35177Cheng, Zhipeng; Shen, Zifei; Yang, Minbo 3 2017 On a class of coupled critical Hartree system with deepening potential. Zbl 1472.35140Zheng, Yu; Gao, Fashun; Shen, Zifei; Yang, Minbo 3 2021 Least energy solutions for coupled Hartree system with Hardy-Littlewood-Sobolev critical exponents. Zbl 1427.35066Zheng, Yu; Santos, Carlos A.; Shen, Zifei; Yang, Minbo 3 2020 Existence of a radial solution to a 1-Laplacian problem in \(\mathbb{R}^N\). Zbl 1479.35500Zhou, Fen; Shen, Zifei 2 2021 Existence of solutions for a fractional Laplacian equation with critical nonlinearity. Zbl 1470.35412Shen, Zifei; Gao, Fashun 2 2013 Equilibrium of abstract economy and generalized quasi-variational inequality in \(H\)-spaces. Zbl 1084.91036Wu, Xian; Shen, Zi-Fei 2 2005 Multiplicity result for quasilinear elliptic systems with Neumann boundary condition. Zbl 1129.35361Yang, Minbo; Shen, Zifei 2 2005 Multiplicity results for a differential inclusion problem with non-standard growth. Zbl 1234.35082Qian, Chenyin; Shen, Zifei; Zhu, Junqiao 2 2012 Infinitely many solutions for a Kirchhoff-type problem with non-standard growth and indefinite weight. Zbl 1323.35017Shen, Zifei; Qian, Chenyin 2 2015 Exponential asymptotic property of a parallel repairable system with warm standby under common-cause failure. Zbl 1245.90023Shen, Zifei; Hu, Xiaoxiao; Fan, Weifeng 2 2008 Existence of global solutions and attractors for the parabolic equation with critical Sobolev and Hardy exponent in \(\mathbb{R}^N\). Zbl 06889438Qian, Chenyin; Shen, Zifei 1 2018 Existence theorems for maximal elements in noncompact \(H\)-spaces and their applications. Zbl 1012.49006Shen, Zifei 1 1999 Generalized Schauder bases and the generalized topological degree for generalized A-proper mappings in Banach spaces. Zbl 1045.46005Wang, Yuanheng; Shen, Zifei 1 2003 Existence of nontrivial solutions for \(p\)-Laplacian variational inclusion systems in \(\mathbb R^N\). Zbl 1298.35065Shen, Zifei; Wan, Songqiang 1 2011 On critical pseudo-relativistic Hartree equation with potential well. Zbl 1437.35325Zheng, Yu; Yang, Minbo; Shen, Zifei 1 2020 On a class of coupled critical Hartree system with deepening potential. Zbl 1472.35140Zheng, Yu; Gao, Fashun; Shen, Zifei; Yang, Minbo 3 2021 Existence of a radial solution to a 1-Laplacian problem in \(\mathbb{R}^N\). Zbl 1479.35500Zhou, Fen; Shen, Zifei 2 2021 Least energy solutions for coupled Hartree system with Hardy-Littlewood-Sobolev critical exponents. Zbl 1427.35066Zheng, Yu; Santos, Carlos A.; Shen, Zifei; Yang, Minbo 3 2020 On critical pseudo-relativistic Hartree equation with potential well. Zbl 1437.35325Zheng, Yu; Yang, Minbo; Shen, Zifei 1 2020 Multiplicity of solutions for a nonlocal nonhomogeneous elliptic equation with critical exponential growth. Zbl 1418.35108Li, Shuoshuo; Shen, Zifei; Yang, Minbo 5 2019 On critical Choquard equation with potential well. Zbl 1398.35064Shen, Zifei; Gao, Fashun; Yang, Minbo 15 2018 Existence of global solutions and attractors for the parabolic equation with critical Sobolev and Hardy exponent in \(\mathbb{R}^N\). Zbl 06889438Qian, Chenyin; Shen, Zifei 1 2018 Multiple solutions for nonhomogeneous Choquard equation involving Hardy-Littlewood-Sobolev critical exponent. Zbl 1375.35146Shen, Zifei; Gao, Fashun; Yang, Minbo 11 2017 Instability of standing waves for a generalized Choquard equation with potential. Zbl 1359.35177Cheng, Zhipeng; Shen, Zifei; Yang, Minbo 3 2017 Ground states for nonlinear fractional Choquard equations with general nonlinearities. Zbl 1344.35168Shen, Zifei; Gao, Fashun; Yang, Minbo 50 2016 Infinitely many solutions for a Kirchhoff-type problem with non-standard growth and indefinite weight. Zbl 1323.35017Shen, Zifei; Qian, Chenyin 2 2015 On the existence of solutions for the critical fractional Laplacian equation in \(\mathbb{R}^N\). Zbl 1470.35411Shen, Zifei; Gao, Fashun 4 2014 Existence of solutions for a fractional Laplacian equation with critical nonlinearity. Zbl 1470.35412Shen, Zifei; Gao, Fashun 2 2013 Multiplicity results for a differential inclusion problem with non-standard growth. Zbl 1234.35082Qian, Chenyin; Shen, Zifei; Zhu, Junqiao 2 2012 On a class of infinite-dimensional Hamiltonian systems with asymptotically periodic nonlinearities. Zbl 1211.35248Yang, Minbo; Shen, Zifei; Ding, Yanheng 4 2011 Existence of nontrivial solutions for \(p\)-Laplacian variational inclusion systems in \(\mathbb R^N\). Zbl 1298.35065Shen, Zifei; Wan, Songqiang 1 2011 Existence and multiplicity of solutions for \(p(x)\)-Laplacian equation with nonsmooth potential. Zbl 1181.35119Qian, Chenyin; Shen, Zifei 11 2010 Existence of solutions for \(p(x)\)-Laplacian nonhomogeneous Neumann problems with indefinite weight. Zbl 1181.35120Qian, Chenyin; Shen, Zifei; Yang, Minbo 5 2010 Multiple semiclassical solutions for the nonlinear Maxwell-Schrödinger system. Zbl 1171.35478Yang, Minbo; Shen, Zifei; Ding, Yanheng 20 2009 Infinitely many solutions for a class of fourth order elliptic equations in \(\mathbb R^N\). Zbl 1154.35335Yang, Minbo; Shen, Zifei 7 2008 Exponential asymptotic property of a parallel repairable system with warm standby under common-cause failure. Zbl 1245.90023Shen, Zifei; Hu, Xiaoxiao; Fan, Weifeng 2 2008 The effect of domain topology on the number of positive solutions for singular elliptic problems involving the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1157.35044Yang, Minbo; Shen, Zifei 5 2007 Nontrivial solutions for Hardy-Sobolev critical elliptic equations. Zbl 1124.35315Shen, Zi Fei; Yang, Min Bo 5 2005 Equilibrium of abstract economy and generalized quasi-variational inequality in \(H\)-spaces. Zbl 1084.91036Wu, Xian; Shen, Zi-Fei 2 2005 Multiplicity result for quasilinear elliptic systems with Neumann boundary condition. Zbl 1129.35361Yang, Minbo; Shen, Zifei 2 2005 Generalized Schauder bases and the generalized topological degree for generalized A-proper mappings in Banach spaces. Zbl 1045.46005Wang, Yuanheng; Shen, Zifei 1 2003 Maximal element theorems of H-majorized correspondence and existence of equilibrium for abstract economies. Zbl 0994.91009Shen, Zifei 17 2001 Existence theorems for maximal elements in noncompact \(H\)-spaces and their applications. Zbl 1012.49006Shen, Zifei 1 1999 On Ky Fan’s minimax inequality. Zbl 1054.49500Wu, Xian; Shen, Zifei 3 1998 The average diameter of general tree structures. Zbl 0951.68040Shen, Z. 3 1998 Economic equilibrium theorems of Shafer-Sonnenschein version and nonempty intersection theorems in interval spaces. Zbl 0832.90012Chang, Shihsen; Wu, Xian; Shen, Zifei 4 1995 A mathematical model for mesh’s dynamic behavior. Zbl 0812.68080Shen, Z. 3 1994 An interval version of Shubert’s iterative method for the localization of the global maximum. Zbl 0602.65040Shen, Z.; Zhu, Y. 11 1987 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year