Existence of anti-periodic solutions for quasilinear parabolic hemivariational inequalities

Jong Yeoul Park; Tae Gab Ha

doi:10.1016/j.na.2009.01.200

Existence of anti-periodic solutions for quasilinear parabolic hemivariational inequalities

Jong Yeoul Park
, Tae Gab Ha^*

^*Corresponding author for this work

Department of Mathematics

Pusan National University

Research output: Contribution to journal › Journal article › peer-review

22 Scopus citations

Abstract

In this paper, we consider the problem of the existence of anti-periodic solutions for quasilinear parabolic hemivariational inequalities with a pseudomonotone operator. Using regularized approximating and first eigenfunction methods and the surjectivity result, we prove the existence of solutions for quasilinear parabolic hemivariational inequalities.

Original language	English
Pages (from-to)	3203-3217
Number of pages	15
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	71
Issue number	7-8
DOIs	https://doi.org/10.1016/j.na.2009.01.200
State	Published - 2009.10.1

Keywords

Anti-periodic solution
Hemivariational inequality
Pseudomonotone operator

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10.1016/j.na.2009.01.200

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title = "Existence of anti-periodic solutions for quasilinear parabolic hemivariational inequalities",

abstract = "In this paper, we consider the problem of the existence of anti-periodic solutions for quasilinear parabolic hemivariational inequalities with a pseudomonotone operator. Using regularized approximating and first eigenfunction methods and the surjectivity result, we prove the existence of solutions for quasilinear parabolic hemivariational inequalities.",

keywords = "Anti-periodic solution, Hemivariational inequality, Pseudomonotone operator",

author = "Park, \{Jong Yeoul\} and Ha, \{Tae Gab\}",

year = "2009",

month = oct,

day = "1",

doi = "10.1016/j.na.2009.01.200",

language = "English",

volume = "71",

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journal = "Nonlinear Analysis, Theory, Methods and Applications",

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TY - JOUR

T1 - Existence of anti-periodic solutions for quasilinear parabolic hemivariational inequalities

AU - Park, Jong Yeoul

AU - Ha, Tae Gab

PY - 2009/10/1

Y1 - 2009/10/1

N2 - In this paper, we consider the problem of the existence of anti-periodic solutions for quasilinear parabolic hemivariational inequalities with a pseudomonotone operator. Using regularized approximating and first eigenfunction methods and the surjectivity result, we prove the existence of solutions for quasilinear parabolic hemivariational inequalities.

AB - In this paper, we consider the problem of the existence of anti-periodic solutions for quasilinear parabolic hemivariational inequalities with a pseudomonotone operator. Using regularized approximating and first eigenfunction methods and the surjectivity result, we prove the existence of solutions for quasilinear parabolic hemivariational inequalities.

KW - Anti-periodic solution

KW - Hemivariational inequality

KW - Pseudomonotone operator

UR - https://www.scopus.com/pages/publications/67349215117

U2 - 10.1016/j.na.2009.01.200

DO - 10.1016/j.na.2009.01.200

M3 - Journal article

AN - SCOPUS:67349215117

SN - 0362-546X

VL - 71

SP - 3203

EP - 3217

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 7-8

ER -

Existence of anti-periodic solutions for quasilinear parabolic hemivariational inequalities

Abstract

Keywords

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