VARIATIONAL-HEMIVARIATIONAL INEQUALITIES WITH NONHOMOGENEOUS NEUMANN BOUNDARY CONDITION

被引：11

作者：

Motreanu, Dumitru ^{[1
]}

Winkert, Patrick ^{[2
]}

机构：

[1] Univ Perpignan, Dept Math, Ave Paul Alduy 52, F-66860 Perpignan, France

[2] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

来源：

MATEMATICHE | 2010年 / 65卷 / 02期

关键词：

Elliptic variational-hemivariational inequality; Nonsmooth critical point theory; p-Laplacian;

D O I：

10.4418/2010.65.2.12

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is the study of variational-hemivariational inequalities with nonhomogeneous Neumann boundary condition. Sufficient conditions for the existence of a whole sequence of solutions which is either unbounded or converges to zero are proved. For homogeneous Neumann boundary condition, results of this type have been obtained in Marano and Motreanu [3]. Our approach is based on abstract nonsmooth critical point results given in [3]. The applicability of our results is demonstrated by providing two verifiable criteria which address problems with nonsmooth potential and nonzero Neumann boundary condition.

引用

页码：109 / 119

页数：11

共 7 条

[1] VARIATIONAL-METHODS FOR NON-DIFFERENTIABLE FUNCTIONALS AND THEIR APPLICATIONS TO PARTIAL-DIFFERENTIAL EQUATIONS [J].

CHANG, KC .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 80 (01) :102-129

[2]

CLARKE FH, 1990, CLASSICS APPL MATH, V5

[3] Infinitely many critical points of non-differentiable functions and applications to a Neumann-type problem involving the p-Laplacian [J].

Marano, SA ;

Motreanu, D .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 182 (01) :108-120

[4] On a three critical points theorem for non-differentiable functions and applications to nonlinear boundary value problems [J].

Marano, SA ;

Motreanu, D .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 48 (01) :37-52

[5]

Motreanu D., 1999, NONCON OPTIM ITS APP, V29

[6] A general variational principle and some of its applications [J].

Ricceri, B .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 113 (1-2) :401-410

[7] MINIMAX PRINCIPLES FOR LOWER SEMICONTINUOUS FUNCTIONS AND APPLICATIONS TO NONLINEAR BOUNDARY-VALUE-PROBLEMS [J].

SZULKIN, A .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1986, 3 (02) :77-109

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