Three solutions to inequalities of Dirichlet problem driven by p(x)-Laplacian

Bin Ge; Xiao Ping Xue; Meng Shu Guo

doi:10.1007/s10483-010-1361-9

Three solutions to inequalities of Dirichlet problem driven by p(x)-Laplacian

Bin Ge^*
, Xiao Ping Xue
, Meng Shu Guo

^*Corresponding author for this work

School of Mathematics

Harbin Engineering University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

A class of nonlinear elliptic problems driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential is considered. By applying the version of the nonsmooth three-critical-point theorem, the existence of three solutions to the problems is proved.

Original language	English
Pages (from-to)	1283-1292
Number of pages	10
Journal	Applied Mathematics and Mechanics (English Edition)
Volume	31
Issue number	10
DOIs	https://doi.org/10.1007/s10483-010-1361-9
State	Published - Oct 2010

Keywords

differential inclusion problem
p(x)-Laplacian
three-critical-point theorem

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10.1007/s10483-010-1361-9

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@article{f06f2f7afade4351877a7235195c2353,

title = "Three solutions to inequalities of Dirichlet problem driven by p(x)-Laplacian",

abstract = "A class of nonlinear elliptic problems driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential is considered. By applying the version of the nonsmooth three-critical-point theorem, the existence of three solutions to the problems is proved.",

keywords = "differential inclusion problem, p(x)-Laplacian, three-critical-point theorem",

author = "Bin Ge and Xue, \{Xiao Ping\} and Guo, \{Meng Shu\}",

year = "2010",

month = oct,

doi = "10.1007/s10483-010-1361-9",

language = "英语",

volume = "31",

pages = "1283--1292",

journal = "Applied Mathematics and Mechanics (English Edition)",

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T1 - Three solutions to inequalities of Dirichlet problem driven by p(x)-Laplacian

AU - Ge, Bin

AU - Xue, Xiao Ping

AU - Guo, Meng Shu

PY - 2010/10

Y1 - 2010/10

N2 - A class of nonlinear elliptic problems driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential is considered. By applying the version of the nonsmooth three-critical-point theorem, the existence of three solutions to the problems is proved.

AB - A class of nonlinear elliptic problems driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential is considered. By applying the version of the nonsmooth three-critical-point theorem, the existence of three solutions to the problems is proved.

KW - differential inclusion problem

KW - p(x)-Laplacian

KW - three-critical-point theorem

UR - https://www.scopus.com/pages/publications/77958124856

U2 - 10.1007/s10483-010-1361-9

DO - 10.1007/s10483-010-1361-9

M3 - 文章

AN - SCOPUS:77958124856

SN - 0253-4827

VL - 31

SP - 1283

EP - 1292

JO - Applied Mathematics and Mechanics (English Edition)

JF - Applied Mathematics and Mechanics (English Edition)

IS - 10

ER -

Three solutions to inequalities of Dirichlet problem driven by p(x)-Laplacian

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Keywords

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