Existence of Solutions for a Critical Choquard-Kirchhoff Problem with Variable Exponents

被引：8

作者：

Zhang, Youpei ^{[1
]}

Qin, Dongdong ^{[2
]}

机构：

[1] Natl Univ Def Technol, Dept Math, Changsha 410073, Hunan, Peoples R China

[2] Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Choquard-Kirchhoff problems; Variable exponent; Concentration-compactness principle; Critical nonlinearity; ANISOTROPIC ELLIPTIC-EQUATIONS; P(X)-LAPLACIAN EQUATIONS; MULTIPLE SOLUTIONS; GROWTH; FUNCTIONALS; SYSTEMS;

D O I：

10.1007/s12220-023-01266-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Choquard-Kirchhoff problem involving variable exponents and critical nonlinearity in the whole space. Combining the concentration-compactness principle in W (1, p(x))(R-N), the Hardy-Littlewood-Sobolev type inequality with variable exponents, and the mountain pass theorem, we provide the existence of nontrivial radial solutions for the above problem in nondegenerate and degenerate cases.

引用

页数：28

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