EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR P(X)-LAPLACIAN DIFFERENTIAL INCLUSIONS INVOLVING CRITICAL GROWTH

被引：1

作者：

Yuan, Ziqing ^{[1
,3
]}

Huang, Mugen ^{[2
]}

机构：

[1] Shaoyang Univ, Dept Math, Shaoyang 422000, Hunan, Peoples R China

[2] Guangdong Univ Finance & Econ, Sch Stat & Math, Big Data & Educ Stat Applicat Lab, Guangzhou 510320, Peoples R China

[3] Guangzhou Univ, Ctr Appl Math, Guangzhou 510006, Guangdong, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2020年 / 10卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Locally Lipschitz; nonsmooth analysis; hemivariational inequality; POSITIVE SOLUTIONS; SPACES; EQUATIONS; SYSTEMS;

D O I：

10.11948/20190216

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concernes with the existence and multiplicity of solutions for p(x)-Laplacian differential inclusions involving critical growth. The main tools are the nonsmooth analysis and variational methods. Our main results generalize some recent results in the literature into nonsmooth cases.

引用

页码：1416 / 1432

页数：17

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