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

共 50 条

[31] Existence and multiplicity of solutions for nonlocal p(x)-Laplacian problems in RN
Guo, Erlin
Zhao, Peihao
BOUNDARY VALUE PROBLEMS, 2012,
[32] Existence and multiplicity of solutions for p(x)-Laplacian equation with nonsmooth potential
Qian, Chenyin
Shen, Zifei
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (01) : 106 - 116
[33] Existence and multiplicity of solutions for nonlocal p(x)-Laplacian problems in RN
Erlin Guo
Peihao Zhao
Boundary Value Problems, 2012
[34] Existence of solutions for a Steklov problem involving the p(x)-Laplacian
Anane, Aomar
Chakrone, Omar
Zerouali, Abdellah
Karim, Belhadj
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2014, 32 (01): : 205 - 213
[35] Existence and multiplicity of solutions for a general p(x)-Laplacian Neumann problem
Shi, Xiayang
Ding, Xuanhao
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (10) : 3715 - 3720
[36] Existence and multiplicity of solutions for the nonlocal p(x)-Laplacian equations in RN
Ji, Chao
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2012, (76) : 1 - 12
[37] EXISTENCE OF SOLUTIONS TO FRACTIONAL DIFFERENTIAL INCLUSIONS WITH p-LAPLACIAN OPERATOR
Yantir, Ahmet
Topal, Fatma Serap
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
[38] Existence and multiplicity of solutions for fractional p-Laplacian equation involving critical concave-convex nonlinearities
Ye, Dong
Zhang, Weimin
ADVANCED NONLINEAR STUDIES, 2024,
[39] Existence and multiplicity of standing wave solutions for perturbed fractional p-Laplacian systems involving critical exponents
Zhang, Shulin
AIMS MATHEMATICS, 2022, 8 (01): : 997 - 1013
[40] EXISTENCE OF SOLUTIONS FOR A CLASS OF p(x)-LAPLACIAN EQUATIONS INVOLVING A CONCAVE-CONVEX NONLINEARITY WITH CRITICAL GROWTH IN RN
Alves, Claudianor O.
Ferreira, Marcelo C.
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2015, 45 (02) : 399 - 422

← 1 2 3 4 5 →