Existence and multiplicity of solutions for a p(x)-Choquard-Kirchhoff problem involving critical growth and concave-convex nonlinearities

被引：0

作者：

Ma, Wei ^{[1
,2
]}

Zhang, Qiongfen ^{[1
,2
]}

机构：

[1] Guilin Univ Technol, Sch Math & Stat, Guilin 541004, Guangxi, Peoples R China

[2] Guangxi Coll & Univ Key Lab Appl Stat, Guilin 541004, Guangxi, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 542卷 / 01期

基金：

中国国家自然科学基金;

关键词：

p(x)-Choquard-Kirchhoff problem; Weighted variable exponent; Concentration-compactness principle; Mountain pass theorem; Ekeland variational principle; GROUND-STATE SOLUTIONS; DEGENERATE ELLIPTIC-EQUATIONS; DIRICHLET PROBLEM; P(X)-LAPLACIAN;

D O I：

10.1016/j.jmaa.2024.128765

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to studying a kind of p(x)-Choquard-Kirchhoff problems involving critical growth and concave-convex nonlinearities. Combining the concentration-compactness principle for weighted variable exponent spaces, the calculus of variations, genus theory and the Hardy-Littlewood-Sobolev type inequality, we obtain the existence of nontrivial solutions for this kind of p(x)-Choquard-Kirchhoff problems. Our results improve the related ones in the literature. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：23

共 47 条

[41]

WEI ZH, 1992, NONLINEAR ANAL-THEOR, V18, P559

[42]

Willemff M., 1996, Progress in Nonlinear Differential Equations and Their Applications, V24

[43]

Yang S.F., 2012, Bound. Value Probl., V2012, P1

[44] Solutions of nonlinear problems involving p(x)-Laplacian operator [J].