Solutions for a class of hemivariational inequalities with p(x)-Laplacian

Xia Zhang; Yongqiang Fu

doi:10.4064/ap95-3-6

Solutions for a class of hemivariational inequalities with p(x)-Laplacian

Xia Zhang^*
, Yongqiang Fu

^*Corresponding author for this work

School of Mathematics

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

3 Scopus citations

Abstract

We study a class of hemivariational inequalities with p(x)-Laplacian. Applying nonsmooth critical point theory for locally Lipschitz functions, we obtain the existence of solutions on interior and exterior domains.

Original language	English
Pages (from-to)	273-288
Number of pages	16
Journal	Annales Polonici Mathematici
Volume	95
Issue number	3
DOIs	https://doi.org/10.4064/ap95-3-6
State	Published - 2009

Keywords

Generalized gradient
Hemivariational inequality
Locally Lipschitz function
Nonsmooth critical point theory

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title = "Solutions for a class of hemivariational inequalities with p(x)-Laplacian",

abstract = "We study a class of hemivariational inequalities with p(x)-Laplacian. Applying nonsmooth critical point theory for locally Lipschitz functions, we obtain the existence of solutions on interior and exterior domains.",

keywords = "Generalized gradient, Hemivariational inequality, Locally Lipschitz function, Nonsmooth critical point theory",

author = "Xia Zhang and Yongqiang Fu",

year = "2009",

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AU - Zhang, Xia

AU - Fu, Yongqiang

PY - 2009

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N2 - We study a class of hemivariational inequalities with p(x)-Laplacian. Applying nonsmooth critical point theory for locally Lipschitz functions, we obtain the existence of solutions on interior and exterior domains.

AB - We study a class of hemivariational inequalities with p(x)-Laplacian. Applying nonsmooth critical point theory for locally Lipschitz functions, we obtain the existence of solutions on interior and exterior domains.

KW - Generalized gradient

KW - Hemivariational inequality

KW - Locally Lipschitz function

KW - Nonsmooth critical point theory

UR - https://www.scopus.com/pages/publications/83655182923

U2 - 10.4064/ap95-3-6

DO - 10.4064/ap95-3-6

M3 - 文章

AN - SCOPUS:83655182923

SN - 0066-2216

VL - 95

SP - 273

EP - 288

JO - Annales Polonici Mathematici

JF - Annales Polonici Mathematici

IS - 3

ER -

Solutions for a class of hemivariational inequalities with p(x)-Laplacian

Abstract

Keywords

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