On Fractional Choquard Equation with Subcritical or Critical Nonlinearities

被引：0

作者：

Zi-an Fan

机构：

[1] Hubei Engineering University,School of Mathematics and Statistics

来源：

Mediterranean Journal of Mathematics | 2021年 / 18卷

关键词：

Fractional Choquard equation; Critical nonlinearities; Nehari manifold; Variational methods; 35A15; 35J60; 35R09;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this article, we study one fractional Choquard equation with subcritical or critical nonlinearities. we obtain some existence results using variational methods and Nehari manifold under two different cases.

引用

共 50 条

[31] Saddle solutions for the fractional Choquard equation
Cui, Ying-Xin
Xia, Jiankang
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (02):
[32] THE NEHARI MANIFOLD FOR A FRACTIONAL LAPLACIAN EQUATION INVOLVING CRITICAL NONLINEARITIES
Wang, Qingfang
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2018, 17 (06) : 2261 - 2281
[33] Concentration of solutions for a fractional relativistic Schrodinger-Choquard equation with critical growth*
Wang, Li
Wang, Jun
Zhong, Qiaocheng
Cheng, Kun
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023, 230
[34] Multiplicity and concentration of nontrivial nonnegative solutions for a fractional Choquard equation with critical exponent
Shaoxiong Chen
Yue Li
Zhipeng Yang
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020, 114
[35] Concentrating standing waves for the fractional Schrodinger equation with critical nonlinearities
Li, Suhong
Ding, Yanheng
Chen, Yu
BOUNDARY VALUE PROBLEMS, 2015, : 1 - 26
[36] NONTRIVIAL SOLUTIONS OF QUASILINEAR CHOQUARD EQUATION INVOLVING THE p-LAPLACIAN OPERATOR AND CRITICAL NONLINEARITIES
Liang, Shuaishuai
Song, Yueqiang
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2022, 35 (5-6) : 359 - 370
[37] Fractional Choquard Equations with Confining Potential With or Without Subcritical Perturbations
Mugnai, Dimitri
Lippi, Edoardo Proietti
ADVANCED NONLINEAR STUDIES, 2020, 20 (01) : 163 - 183
[38] On nodal solutions of the fractional Choquard equation
Cui, Ying-Xin
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 500 (02)
[39] Multiplicity and concentration of nontrivial nonnegative solutions for a fractional Choquard equation with critical exponent
Chen, Shaoxiong
Li, Yue
Yang, Zhipeng
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 114 (01)
[40] CRITICAL KIRCHHOFF-CHOQUARD SYSTEM INVOLVING THE FRACTIONAL p-LAPLACIAN OPERATOR AND SINGULAR NONLINEARITIES
Sang, Yanbin
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2021, 58 (01) : 233 - 274

← 1 2 3 4 5 →