Existence and multiplicity of solutions for critical Choquard-Kirchhoff type equations with variable growth

被引：2

作者：

Tao, Lulu ^{[1
]}

He, Rui ^{[1
]}

Liang, Sihua ^{[1
]}

Niu, Rui ^{[2
]}

机构：

[1] Changchun Normal Univ, Coll Math, Changchun 130032, Peoples R China

[2] Heilongjiang Inst Technol, Coll Sci, Harbin 150050, Peoples R China

来源：

AIMS MATHEMATICS | 2022年 / 8卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Choquard equation; critical nonlinearity; concentration-compactness principles; variational methods; CONCENTRATION-COMPACTNESS PRINCIPLE; P(X)-LAPLACIAN EQUATIONS; SPACES; EXPONENTS;

D O I：

10.3934/math.2023156

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence and multiplicity of solutions for a class of Choquard-Kirchhoff type equations with variable exponents and critical reaction. Because the appearance of the critical reaction, we deal with the lack of compactness by using the concentration-compactness principle. In particular, we discuss the main results in non-degenerate and degenerate cases. And we apply combination of Krasnoselskii genus and the Hardy-Littlewood-Sobolev inequality to get the results of existence and multiplicity.

引用

页码：3026 / 3048

页数：23

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