## Cheng, Bitao

Compute Distance To:
 Author ID: cheng.bitao Published as: Cheng, Bitao External Links: ResearchGate · dblp
 Documents Indexed: 38 Publications since 1995 Reviewing Activity: 2 Reviews Co-Authors: 17 Co-Authors with 31 Joint Publications 520 Co-Co-Authors
all top 5

### Co-Authors

 5 single-authored 18 Tang, Xianhua 17 Chen, Jianhua 5 Huang, Xianjiu 4 Wu, Xian 3 Li, Guofa 3 Liu, Jun 1 Gao, Zu 1 Heathcote, Christopher R. 1 Hu, Jiangong 1 Huang, Yisheng 1 Liu, Haihong 1 Luo, Huxiao 1 Qin, Dongdong 1 Rachev, Svetlozar T. 1 Yang, Xian Yong 1 Zhang, Binlin 1 Zhang, Jian 1 Zhang, Wen 1 Zhu, Chuanxi
all top 5

### Serials

 5 Applied Mathematics Letters 3 Mediterranean Journal of Mathematics 2 Computers & Mathematics with Applications 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Communications on Pure and Applied Analysis 2 Boundary Value Problems 2 Journal of Nonlinear Science and Applications 1 Applicable Analysis 1 Chaos, Solitons and Fractals 1 Journal of Differential Equations 1 Journal of Multivariate Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Asymptotic Analysis 1 Topological Methods in Nonlinear Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Filomat 1 NoDEA. Nonlinear Differential Equations and Applications 1 Abstract and Applied Analysis 1 The Asian Journal of Mathematics 1 Complex Variables and Elliptic Equations 1 Journal of Fixed Point Theory and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Mathematical Sciences
all top 5

### Fields

 35 Partial differential equations (35-XX) 4 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

28 Publications have been cited 456 times in 329 Documents Cited by Year
Ground state sign-changing solutions for Kirchhoff type problems in bounded domains. Zbl 1343.35085
Tang, X. H.; Cheng, Bitao
2016
Existence results of positive solutions of Kirchhoff type problems. Zbl 1175.35038
Cheng, Bitao; Wu, Xian
2009
New existence and multiplicity of nontrivial solutions for nonlocal elliptic Kirchhoff type problems. Zbl 1254.35082
Cheng, Bitao
2012
Multiple solutions for a class of Kirchhoff type problems with concave nonlinearity. Zbl 1262.35106
Cheng, Bitao; Wu, Xian; Liu, Jun
2012
Testing multivariate symmetry. Zbl 0863.62059
Heathcote, C. R.; Rachev, S. T.; Cheng, B.
1995
Ground state sign-changing solutions for asymptotically 3-linear Kirchhoff-type problems. Zbl 1371.35057
Cheng, Bitao; Tang, Xianhua
2017
High energy solutions of modified quasilinear fourth-order elliptic equations with sign-changing potential. Zbl 1368.35111
Cheng, Bitao; Tang, Xianhua
2017
Non-Nehari manifold method for a class of generalized quasilinear Schrödinger equations. Zbl 1379.35073
Chen, Jianhua; Tang, Xianhua; Cheng, Bitao
2017
New existence of solutions for the fractional $$p$$-Laplacian equations with sign-changing potential and nonlinearity. Zbl 06661841
Cheng, Bitao; Tang, Xianhua
2016
Multiplicity of nontrivial solutions for Kirchhoff type problems. Zbl 1226.35017
Cheng, Bitao; Wu, Xian; Liu, Jun
2010
Sign-changing solutions for fourth order elliptic equations with Kirchhoff-type. Zbl 1353.35150
Zhang, Jian; Cheng, Bitao; Tang, Xianhua; Zhang, Wen
2016
Ground state sign-changing solutions for a class of generalized quasilinear Schrödinger equations with a Kirchhoff-type perturbation. Zbl 1379.35111
Chen, Jianhua; Tang, Xianhua; Gao, Zu; Cheng, Bitao
2017
Existence of ground state solutions for a class of quasilinear Schrödinger equations with general critical nonlinearity. Zbl 1401.35047
Chen, Jianhua; Tang, Xianhua; Cheng, Bitao
2019
Infinitely many large energy solutions for Schrödinger-Kirchhoff type problem in $$\mathbb R^N$$. Zbl 1329.35128
Cheng, Bitao; Tang, Xianhua
2016
New existence of multiple solutions for nonhomogeneous Schrödinger-Kirchhoff problems involving the fractional $$p$$-Laplacian with sign-changing potential. Zbl 1380.35085
Chen, Jianhua; Cheng, Bitao; Tang, Xianhua
2018
Multiplicity of solutions for a nonlocal elliptic system of $$(p,q)$$-Kirchhoff type. Zbl 1225.35083
Cheng, Bitao; Wu, Xian; Liu, Jun
2011
Ground state solutions for a class of quasilinear Schrödinger equations with Choquard type nonlinearity. Zbl 1440.35129
Chen, Jianhua; Cheng, Bitao; Huang, Xianjiu
2020
Existence and nonexistence of positive solutions for a class of generalized quasilinear Schrödinger equations involving a Kirchhoff-type perturbation with critical Sobolev exponent. Zbl 1420.35346
Chen, Jianhua; Tang, Xianhua; Cheng, Bitao
2018
Nehari-type ground state solutions for Kirchhoff type problems in $$\mathbb{R}^N$$. Zbl 1418.35147
Cheng, Bitao; Li, Guofa; Tang, Xianhua
2019
Existence of ground state sign-changing solutions for a class of generalized quasilinear Schrödinger-Maxwell system in $$\mathbb R^3$$. Zbl 1382.35098
Chen, Jianhua; Tang, Xianhua; Cheng, Bitao
2017
Some results on standing wave solutions for a class of quasilinear Schrödinger equations. Zbl 1428.35495
Chen, Jianhua; Huang, Xianjiu; Cheng, Bitao; Zhu, Chuanxi
2019
Positive solutions for a class of quasilinear Schrödinger equations with superlinear condition. Zbl 1411.35095
Chen, Jianhua; Huang, Xianjiu; Cheng, Bitao
2019
Ground states for a class of generalized quasilinear Schrödinger equations in $$\mathbb R^N$$. Zbl 1377.35114
Chen, Jianhua; Tang, Xianhua; Cheng, Bitao
2017
Eigenvalue problem for $$p$$-Laplacian with mixed boundary conditions. Zbl 1277.35273
Li, Guofa; Liu, Haihong; Cheng, Bitao
2013
A new result on multiplicity of nontrivial solutions for the nonhomogenous Schrödinger-Kirchhoff type problem in $$\mathbb R^N$$. Zbl 1351.35033
Cheng, Bitao
2016
Multiplicity of nontrivial solutions for system of nonhomogenous Kirchhoff-type equations in $$\mathbb R^{N}$$. Zbl 1321.35042
Cheng, Bitao
2015
Nontrivial solutions for Schrödinger-Kirchhoff-type problem in $$\mathbb R^N$$. Zbl 1296.35037
Cheng, Bitao
2013
Existence and multiplicity of nontrivial solutions for nonlinear Schrödinger equations with unbounded potentials. Zbl 07467615
Chen, Jianhua; Huang, Xianjiu; Cheng, Bitao; Luo, Huxiao
2018
Ground state solutions for a class of quasilinear Schrödinger equations with Choquard type nonlinearity. Zbl 1440.35129
Chen, Jianhua; Cheng, Bitao; Huang, Xianjiu
2020
Existence of ground state solutions for a class of quasilinear Schrödinger equations with general critical nonlinearity. Zbl 1401.35047
Chen, Jianhua; Tang, Xianhua; Cheng, Bitao
2019
Nehari-type ground state solutions for Kirchhoff type problems in $$\mathbb{R}^N$$. Zbl 1418.35147
Cheng, Bitao; Li, Guofa; Tang, Xianhua
2019
Some results on standing wave solutions for a class of quasilinear Schrödinger equations. Zbl 1428.35495
Chen, Jianhua; Huang, Xianjiu; Cheng, Bitao; Zhu, Chuanxi
2019
Positive solutions for a class of quasilinear Schrödinger equations with superlinear condition. Zbl 1411.35095
Chen, Jianhua; Huang, Xianjiu; Cheng, Bitao
2019
New existence of multiple solutions for nonhomogeneous Schrödinger-Kirchhoff problems involving the fractional $$p$$-Laplacian with sign-changing potential. Zbl 1380.35085
Chen, Jianhua; Cheng, Bitao; Tang, Xianhua
2018
Existence and nonexistence of positive solutions for a class of generalized quasilinear Schrödinger equations involving a Kirchhoff-type perturbation with critical Sobolev exponent. Zbl 1420.35346
Chen, Jianhua; Tang, Xianhua; Cheng, Bitao
2018
Existence and multiplicity of nontrivial solutions for nonlinear Schrödinger equations with unbounded potentials. Zbl 07467615
Chen, Jianhua; Huang, Xianjiu; Cheng, Bitao; Luo, Huxiao
2018
Ground state sign-changing solutions for asymptotically 3-linear Kirchhoff-type problems. Zbl 1371.35057
Cheng, Bitao; Tang, Xianhua
2017
High energy solutions of modified quasilinear fourth-order elliptic equations with sign-changing potential. Zbl 1368.35111
Cheng, Bitao; Tang, Xianhua
2017
Non-Nehari manifold method for a class of generalized quasilinear Schrödinger equations. Zbl 1379.35073
Chen, Jianhua; Tang, Xianhua; Cheng, Bitao
2017
Ground state sign-changing solutions for a class of generalized quasilinear Schrödinger equations with a Kirchhoff-type perturbation. Zbl 1379.35111
Chen, Jianhua; Tang, Xianhua; Gao, Zu; Cheng, Bitao
2017
Existence of ground state sign-changing solutions for a class of generalized quasilinear Schrödinger-Maxwell system in $$\mathbb R^3$$. Zbl 1382.35098
Chen, Jianhua; Tang, Xianhua; Cheng, Bitao
2017
Ground states for a class of generalized quasilinear Schrödinger equations in $$\mathbb R^N$$. Zbl 1377.35114
Chen, Jianhua; Tang, Xianhua; Cheng, Bitao
2017
Ground state sign-changing solutions for Kirchhoff type problems in bounded domains. Zbl 1343.35085
Tang, X. H.; Cheng, Bitao
2016
New existence of solutions for the fractional $$p$$-Laplacian equations with sign-changing potential and nonlinearity. Zbl 06661841
Cheng, Bitao; Tang, Xianhua
2016
Sign-changing solutions for fourth order elliptic equations with Kirchhoff-type. Zbl 1353.35150
Zhang, Jian; Cheng, Bitao; Tang, Xianhua; Zhang, Wen
2016
Infinitely many large energy solutions for Schrödinger-Kirchhoff type problem in $$\mathbb R^N$$. Zbl 1329.35128
Cheng, Bitao; Tang, Xianhua
2016
A new result on multiplicity of nontrivial solutions for the nonhomogenous Schrödinger-Kirchhoff type problem in $$\mathbb R^N$$. Zbl 1351.35033
Cheng, Bitao
2016
Multiplicity of nontrivial solutions for system of nonhomogenous Kirchhoff-type equations in $$\mathbb R^{N}$$. Zbl 1321.35042
Cheng, Bitao
2015
Eigenvalue problem for $$p$$-Laplacian with mixed boundary conditions. Zbl 1277.35273
Li, Guofa; Liu, Haihong; Cheng, Bitao
2013
Nontrivial solutions for Schrödinger-Kirchhoff-type problem in $$\mathbb R^N$$. Zbl 1296.35037
Cheng, Bitao
2013
New existence and multiplicity of nontrivial solutions for nonlocal elliptic Kirchhoff type problems. Zbl 1254.35082
Cheng, Bitao
2012
Multiple solutions for a class of Kirchhoff type problems with concave nonlinearity. Zbl 1262.35106
Cheng, Bitao; Wu, Xian; Liu, Jun
2012
Multiplicity of solutions for a nonlocal elliptic system of $$(p,q)$$-Kirchhoff type. Zbl 1225.35083
Cheng, Bitao; Wu, Xian; Liu, Jun
2011
Multiplicity of nontrivial solutions for Kirchhoff type problems. Zbl 1226.35017
Cheng, Bitao; Wu, Xian; Liu, Jun
2010
Existence results of positive solutions of Kirchhoff type problems. Zbl 1175.35038
Cheng, Bitao; Wu, Xian
2009
Testing multivariate symmetry. Zbl 0863.62059
Heathcote, C. R.; Rachev, S. T.; Cheng, B.
1995
all top 5

### Cited by 386 Authors

 55 Tang, Xianhua 27 Chen, Sitong 23 Cheng, Bitao 18 Chen, Jianhua 11 Chen, Haibo 9 Wu, Xian 7 Gao, Zu 7 Liao, Jiafeng 6 Figueiredo, Giovany Malcher 6 Huang, Xianjiu 6 Liu, Zhisu 6 Qin, Dongdong 6 Wang, Dabin 5 Mao, Anmin 5 Tang, Chun-Lei 5 Xie, Weihong 5 Yan, Baoqiang 5 Zhang, Binlin 5 Zhang, Jian 5 Zhang, Youpei 4 Chen, Caisheng 4 Gu, Guangze 4 Guo, Shangjiang 4 Han, Wei 4 Huang, Yisheng 4 Lei, Chunyu 4 Li, Guofa 4 Li, Hongying 4 Li, Quanqing 4 Li, Yuhua 4 Massa, Eugenio 4 Nie, Jianjun 4 O’Regan, Donal 4 Peng, Jiawu 4 Severo, Uberlandio Batista 4 Shen, Liejun 4 Sun, Mingzheng 4 Zhang, Huabo 4 Zhang, Jinlong 4 Zhang, Wen 3 Afrouzi, Ghasem Alizadeh 3 Agarwal, Ravi P. 3 Chen, Wenjing 3 Dai, Guowei 3 Guan, Wen 3 He, Yubo 3 Lan, Yongyi 3 Li, Fuyi 3 Li, Lin 3 Lin, Xiaoyan 3 Nguyen Thanh Chung 3 Ou, Zengqi 3 Pu, Yang 3 Qian, Aixia 3 Shi, Junping 3 Teng, Kaimin 3 Wang, Wenbo 3 Wu, Ke 3 Xie, Qilin 3 Xu, Liping 3 Yao, Jiangyan 3 Yu, Jian-She 3 Zhu, Chuanxi 2 Alves, Claudianor Oliveira 2 Bahrouni, Anouar 2 Bai, Chuanzhi 2 Cao, Xiaofei 2 Carrião, Paulo Cesar 2 Che, Guofeng 2 Chen, Chunfang 2 Chen, Peng 2 Chen, Yutong 2 Chu, Changmu 2 Costa, Augusto César Dos Reis 2 Cui, Yujun 2 Dai, Qiuyi 2 de S. Germano, Diogo 2 Deng, Shengbing 2 Ding, Ling 2 He, Xiaoming 2 Huynh, Nhat Vy 2 Iturriaga, Leonelo 2 Jin, Jiahua 2 Liang, Ruixi 2 Liang, Sihua 2 Liang, Zhanping 2 Liao, Fangfang 2 Liu, Chungen 2 Liu, Gaosheng 2 Liu, Jun 2 Liu, Shibo 2 Liu, Xiangqing 2 Liu, Yansheng 2 Liu, Zeng 2 Miyagaki, Olimpio Hiroshi 2 Molica Bisci, Giovanni 2 Pei, Ruichang 2 Qian, Xiaotao 2 Rădulescu, Vicenţiu D. 2 Rasouli, Sayyed Hashem ...and 286 more Authors
all top 5

### Cited in 87 Serials

 29 Boundary Value Problems 25 Journal of Mathematical Analysis and Applications 19 Computers & Mathematics with Applications 19 Applied Mathematics Letters 17 Complex Variables and Elliptic Equations 14 Mediterranean Journal of Mathematics 13 Journal of Mathematical Physics 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Mathematical Methods in the Applied Sciences 9 Electronic Journal of Differential Equations (EJDE) 8 Communications on Pure and Applied Analysis 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Applicable Analysis 6 Advances in Nonlinear Analysis 5 Journal of Differential Equations 4 Discrete and Continuous Dynamical Systems 4 Abstract and Applied Analysis 4 Advanced Nonlinear Studies 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Advances in Difference Equations 4 AIMS Mathematics 3 Rocky Mountain Journal of Mathematics 3 Journal of the Korean Mathematical Society 3 The Journal of Geometric Analysis 3 Topological Methods in Nonlinear Analysis 3 NoDEA. Nonlinear Differential Equations and Applications 3 Communications in Contemporary Mathematics 3 Journal of Fixed Point Theory and Applications 3 Journal of Function Spaces 2 Indian Journal of Pure & Applied Mathematics 2 Applied Mathematics and Computation 2 Mathematische Nachrichten 2 Results in Mathematics 2 Asymptotic Analysis 2 Calculus of Variations and Partial Differential Equations 2 Taiwanese Journal of Mathematics 2 Discrete Dynamics in Nature and Society 2 Nonlinear Analysis. Real World Applications 2 Journal of Applied Mathematics and Computing 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Discrete and Continuous Dynamical Systems. Series S 2 Differential Equations and Applications 2 Advances in Mathematical Physics 2 Analysis and Mathematical Physics 2 Journal of Applied Analysis and Computation 2 Open Mathematics 2 Electronic Research Archive 2 SN Partial Differential Equations and Applications 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Annales Polonici Mathematici 1 Applied Mathematics and Optimization 1 Fasciculi Mathematici 1 Glasgow Mathematical Journal 1 Journal of the Mathematical Society of Japan 1 Mathematica Slovaca 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Bulletin of the Korean Mathematical Society 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 International Journal of Mathematics 1 Mathematica Bohemica 1 International Journal of Computer Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of the Egyptian Mathematical Society 1 Georgian Mathematical Journal 1 Opuscula Mathematica 1 Journal of Difference Equations and Applications 1 Journal of Inequalities and Applications 1 Acta Mathematica Sinica. English Series 1 Journal of Dynamical and Control Systems 1 Qualitative Theory of Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Milan Journal of Mathematics 1 Fixed Point Theory and Applications 1 Journal of Nonlinear Science and Applications 1 International Journal of Differential Equations 1 Journal of Spectral Theory 1 Electronic Journal of Mathematical Analysis and Applications EJMAA 1 Applied Mathematics and Nonlinear Sciences 1 Annales Fennici Mathematici
all top 5

### Cited in 17 Fields

 321 Partial differential equations (35-XX) 26 Operator theory (47-XX) 22 Global analysis, analysis on manifolds (58-XX) 7 Ordinary differential equations (34-XX) 6 Integral equations (45-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)