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

被引：9
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.
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页数：28
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