Existence results for semilinear elliptical hemivariational inequalities

被引：7

作者：

Barletta, Giuseppina ^{[1
]}

机构：

[1] Univ Reggio Calabria, Fac Architettura, Dipartimento Patrimonio Architetton & Urbanist, I-89124 Reggio Di Calabria, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 08期

关键词：

hemivariational inequalities; critical point; constraint;

D O I：

10.1016/j.na.2007.01.068

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are interested in studying the existence of solutions to all elliptical hemivariational inequality, depending on a real parameter lambda. The main tool in the proof of our results is a critical point theorem recently established. We obtain the existence of solution through a direct method, both with a changing sign nonlinearity of the kind p(x) f(xi) and in the classical one P(x, xi) too. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：2417 / 2430

页数：14

共 13 条

[1] Adams A, 2003, SOBOLEV SPACES
[2] BONANNO G, 2001, NONCONVEX OPTIM APPL, V58, P25
[3] Brezis H., 1983, TH ORIE APPL
[4] Clarke F.H., 1990, CLASSICS APPL MATH, V5
[5] Girardi M, 2001, Z ANAL ANWEND, V20, P845
[6] Generalized quasi-variational hemi-variational inequalities
Liu, ZH
[J]. APPLIED MATHEMATICS LETTERS, 2004, 17 (06) : 741 - 745
[7] Livrea R, 2004, ADV DIFFERENTIAL EQU, V9, P961
[8] Generalized variational and quasi-variational inequalities with discontinuous operators
Lunsford, ML
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 214 (01) : 245 - 263
[9] On some elliptic hemivariational and variational-hemivaritional inequalities
Marano, SA
Papageorgiou, NS
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 62 (04) : 757 - 774
[10] Matzeu M, 2002, ADV NONLINEAR STUD, V2, P1

← 1 2 →