## Gao, Fashun

Compute Distance To:
 Author ID: gao.fashun Published as: Gao, Fashun
 Documents Indexed: 29 Publications since 1992 Co-Authors: 13 Co-Authors with 19 Joint Publications 531 Co-Co-Authors
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### Co-Authors

 0 single-authored 16 Yang, Minbo 6 Shen, Zifei 4 Zhou, Jiazheng 2 Teo, Kok Lay 2 Wang, Song 2 Wasilkowski, Grzegorz W. 2 Zheng, Yu 1 Alves, Claudianor Oliveira 1 Biswal, Mahendra Prasad 1 Da Silva, Edcarlos Domingos 1 Ding, Yanheng 1 Du, Lele 1 Krivilyov, M. D. 1 Li, Duan 1 Liu, Haidong 1 Moroz, Vitaly 1 Rădulescu, Vicenţiu D. 1 Santos, Carlos Alberto P. 1 Sekulić, Dušan P. 1 Squassina, Marco
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### Serials

 3 Journal of Differential Equations 2 Mathematical Methods in the Applied Sciences 2 Topological Methods in Nonlinear Analysis 2 Abstract and Applied Analysis 1 International Journal of Heat and Mass Transfer 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Journal of Complexity 1 IMA Journal of Mathematical Control and Information 1 Annals of Operations Research 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Discrete and Continuous Dynamical Systems 1 Mechanism and Machine Theory 1 Communications in Contemporary Mathematics 1 Nonlinear Analysis. Real World Applications 1 Quantum Information Processing 1 Science China. Mathematics 1 Advances in Nonlinear Analysis
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### Fields

 19 Partial differential equations (35-XX) 5 Numerical analysis (65-XX) 2 Real functions (26-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

21 Publications have been cited 461 times in 190 Documents Cited by Year
The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation. Zbl 1397.35087
Gao, Fashun; Yang, Minbo
2018
Singularly perturbed critical Choquard equations. Zbl 1378.35113
Alves, Claudianor O.; Gao, Fashun; Squassina, Marco; Yang, Minbo
2017
On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents. Zbl 1357.35106
Gao, Fashun; Yang, Minbo
2017
Ground states for nonlinear fractional Choquard equations with general nonlinearities. Zbl 1344.35168
Shen, Zifei; Gao, Fashun; Yang, Minbo
2016
A strongly indefinite Choquard equation with critical exponent due to the Hardy-Littlewood-Sobolev inequality. Zbl 1391.35126
Gao, Fashun; Yang, Minbo
2018
Existence of solutions for critical Choquard equations via the concentration-compactness method. Zbl 1437.35213
Gao, Fashun; Da Silva, Edcarlos D.; Yang, Minbo; Zhou, Jiazheng
2020
An upwind finite-difference method for the approximation of viscosity solutions to Hamilton-Jacobi-Bellman equations. Zbl 0952.49025
Wang, S.; Gao, F.; Teo, K. L.
2000
Semiclassical states for Choquard type equations with critical growth: critical frequency case. Zbl 1454.35085
Ding, Yanheng; Gao, Fashun; Yang, Minbo
2020
On critical Choquard equation with potential well. Zbl 1398.35064
Shen, Zifei; Gao, Fashun; Yang, Minbo
2018
Convexification, concavification and monotonization in global optimization. Zbl 0995.90091
Li, D.; Sun, X. L.; Biswal, M. P.; Gao, F.
2001
Multiple solutions for nonhomogeneous Choquard equation involving Hardy-Littlewood-Sobolev critical exponent. Zbl 1375.35146
Shen, Zifei; Gao, Fashun; Yang, Minbo
2017
On the power of adaptive information for functions with singularities. Zbl 0751.65008
Wasilkowski, G. W.; Gao, F.
1992
Hopf bifurcation of a nonlinear delayed system of machine tool vibration via pseudo-oscillator analysis. Zbl 1146.70013
Gao, F.; Wang, H. L.; Wang, Z. H.
2007
Infinitely many solutions for a class of critical Choquard equation with zero mass. Zbl 1433.35035
Gao, Fashun; Yang, Minbo; Santos, Carlos Alberto; Zhou, Jiazheng
2019
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 multiple semiclassical solutions for a critical Choquard equation with indefinite potential. Zbl 1437.35295
Gao, Fashun; Yang, Minbo; Zhou, Jiazheng
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 solutions for a fractional Laplacian equation with critical nonlinearity. Zbl 1470.35412
Shen, Zifei; Gao, Fashun
2013
Standing waves for the pseudo-relativistic Hartree equation with Berestycki-Lions nonlinearity. Zbl 1479.35386
Gao, Fashun; Rădulescu, Vicentiu D.; Yang, Minbo; Zheng, Yu
2021
High energy positive solutions for a coupled Hartree system with Hardy-Littlewood-Sobolev critical exponents. Zbl 1465.35176
Gao, Fashun; Liu, Haidong; Moroz, Vitaly; Yang, Minbo
2021
On detecting regularity of functions: A probabilistic analysis. Zbl 0852.65013
Gao, F.; Wasilkowski, G. W.
1993
On a class of coupled critical Hartree system with deepening potential. Zbl 1472.35140
Zheng, Yu; Gao, Fashun; Shen, Zifei; Yang, Minbo
2021
Standing waves for the pseudo-relativistic Hartree equation with Berestycki-Lions nonlinearity. Zbl 1479.35386
Gao, Fashun; Rădulescu, Vicentiu D.; Yang, Minbo; Zheng, Yu
2021
High energy positive solutions for a coupled Hartree system with Hardy-Littlewood-Sobolev critical exponents. Zbl 1465.35176
Gao, Fashun; Liu, Haidong; Moroz, Vitaly; Yang, Minbo
2021
Existence of solutions for critical Choquard equations via the concentration-compactness method. Zbl 1437.35213
Gao, Fashun; Da Silva, Edcarlos D.; Yang, Minbo; Zhou, Jiazheng
2020
Semiclassical states for Choquard type equations with critical growth: critical frequency case. Zbl 1454.35085
Ding, Yanheng; Gao, Fashun; Yang, Minbo
2020
Existence of multiple semiclassical solutions for a critical Choquard equation with indefinite potential. Zbl 1437.35295
Gao, Fashun; Yang, Minbo; Zhou, Jiazheng
2020
Infinitely many solutions for a class of critical Choquard equation with zero mass. Zbl 1433.35035
Gao, Fashun; Yang, Minbo; Santos, Carlos Alberto; Zhou, Jiazheng
2019
The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation. Zbl 1397.35087
Gao, Fashun; Yang, Minbo
2018
A strongly indefinite Choquard equation with critical exponent due to the Hardy-Littlewood-Sobolev inequality. Zbl 1391.35126
Gao, Fashun; Yang, Minbo
2018
On critical Choquard equation with potential well. Zbl 1398.35064
Shen, Zifei; Gao, Fashun; Yang, Minbo
2018
Singularly perturbed critical Choquard equations. Zbl 1378.35113
Alves, Claudianor O.; Gao, Fashun; Squassina, Marco; Yang, Minbo
2017
On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents. Zbl 1357.35106
Gao, Fashun; Yang, Minbo
2017
Multiple solutions for nonhomogeneous Choquard equation involving Hardy-Littlewood-Sobolev critical exponent. Zbl 1375.35146
Shen, Zifei; Gao, Fashun; Yang, Minbo
2017
Ground states for nonlinear fractional Choquard equations with general nonlinearities. Zbl 1344.35168
Shen, Zifei; Gao, Fashun; Yang, Minbo
2016
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
Hopf bifurcation of a nonlinear delayed system of machine tool vibration via pseudo-oscillator analysis. Zbl 1146.70013
Gao, F.; Wang, H. L.; Wang, Z. H.
2007
Convexification, concavification and monotonization in global optimization. Zbl 0995.90091
Li, D.; Sun, X. L.; Biswal, M. P.; Gao, F.
2001
An upwind finite-difference method for the approximation of viscosity solutions to Hamilton-Jacobi-Bellman equations. Zbl 0952.49025
Wang, S.; Gao, F.; Teo, K. L.
2000
On detecting regularity of functions: A probabilistic analysis. Zbl 0852.65013
Gao, F.; Wasilkowski, G. W.
1993
On the power of adaptive information for functions with singularities. Zbl 0751.65008
Wasilkowski, G. W.; Gao, F.
1992
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### Cited by 203 Authors

 24 Yang, Minbo 14 Gao, Fashun 12 Sreenadh, Konijeti 10 Tang, Xianhua 10 Zhang, Binlin 9 Li, Guidong 7 Chen, Sitong 7 Goel, Divya 7 Tang, Chunlei 6 Li, Yong-Yong 6 Rădulescu, Vicenţiu D. 6 Zhang, Fubao 5 Alves, Claudianor Oliveira 5 Luo, Huxiao 5 Mukherjee, Tuhina 5 Sang, Yanbin 5 Shen, Zifei 5 Song, Yueqiang 5 Xiang, Mingqi 5 Zhou, Jiazheng 4 Bueno, Hamilton P. 4 Giacomoni, Jacques 4 Liang, Sihua 4 Liu, Senli 4 Saanouni, Tarek 4 Shi, Shaoyun 4 Zhang, Hui 3 Chen, Haibo 3 Chen, Wenjing 3 Da Silva, Edcarlos Domingos 3 Gao, Zu 3 Li, Xinfu 3 Pereira, Gilberto A. 3 Teng, Kaimin 3 Wang, Fuliang 3 Xia, Jiankang 3 Zhang, Jianjun 2 Ambrosio, Vincenzo 2 Bae, Jung-Hyun 2 Cai, Li 2 Chen, Jianqing 2 Cui, Ying-Xin 2 Echarghaoui, Rachid 2 Gu, Guangze 2 Guo, Lun 2 He, Xiaoming 2 Hong, Qianyu 2 Kim, Jaemyoung 2 Li, Quanqing 2 Liu, Min 2 Luo, Xiaorong 2 Moroz, Vitaly 2 Peng, Shuangjie 2 Pucci, Patrizia 2 Santos, Carlos Alberto P. 2 Squassina, Marco 2 Tang, Zhongwei 2 Tavares, Leandro S. 2 Van Schaftingen, Jean 2 Wang, Qingxuan 2 Wang, Wenbo 2 Wu, Huiling 2 Yang, Yang 2 Yang, Zhipeng 2 You, Song 2 Zhang, Jian 2 Zhao, Fukun 2 Zhao, Peihao 2 Zheng, Yu 2 Zhou, Xianmei 1 Agarwal, Ravi P. 1 Alharbi, Majed Ghazi 1 An, Xiaoming 1 Ao, Yong 1 Belchior, P. 1 Binlin, Zhang 1 Biswas, Reshmi 1 Cassani, Daniele 1 Che, Guofeng 1 Chen, Guoyuan 1 Chen, Haibo 1 Chen, Peng 1 Chen, Shaoxiong 1 Chen, Siyu 1 Choudhuri, Debajyoti 1 Cui, Na 1 de Albuquerque, José Carlos 1 Deng, Shengbing 1 Ding, Yanheng 1 Du, Lele 1 Du, Zhuoran 1 Duan, Chunping 1 Fan, Zian 1 Figueiredo, Giovany Malcher 1 Ghimenti, Marco G. 1 Goyal, Sarika 1 Guo, Qianqiao 1 Guo, Ting 1 Guo, Ya-Hong 1 Han, Xiumei ...and 103 more Authors
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### Cited in 53 Serials

 20 Journal of Mathematical Analysis and Applications 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Advances in Nonlinear Analysis 12 Applied Mathematics Letters 11 Journal of Mathematical Physics 10 Topological Methods in Nonlinear Analysis 7 Communications on Pure and Applied Analysis 6 Boundary Value Problems 5 Applicable Analysis 5 Computers & Mathematics with Applications 5 Journal of Differential Equations 5 The Journal of Geometric Analysis 5 Discrete and Continuous Dynamical Systems 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Calculus of Variations and Partial Differential Equations 4 Mediterranean Journal of Mathematics 4 Complex Variables and Elliptic Equations 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Communications in Contemporary Mathematics 2 Electronic Journal of Differential Equations (EJDE) 2 Computational and Applied Mathematics 2 Advanced Nonlinear Studies 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Advances in Mathematical Physics 2 Science China. Mathematics 2 Journal of Pseudo-Differential Operators and Applications 2 Analysis and Mathematical Physics 2 Open Mathematics 2 SN Partial Differential Equations and Applications 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Annales Polonici Mathematici 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Results in Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Potential Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Opuscula Mathematica 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Journal of Dynamical and Control Systems 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Fixed Point Theory and Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Calculus of Variations 1 Differential Equations and Applications 1 Journal of Function Spaces 1 AIMS Mathematics 1 Electronic Research Archive
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### Cited in 9 Fields

 188 Partial differential equations (35-XX) 8 Quantum theory (81-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Real functions (26-XX) 2 Functional analysis (46-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX)