A nonsmooth principle of symmetric criticality and variational-hemivariational inequalities

被引:20
作者
Kristaly, Alexandru [1 ]
Varga, Csaba
Varga, Viorica
机构
[1] Univ Babes Bolyai, Fac Econ, Cluj Napoca 400591, Romania
[2] Univ Babes Bolyai, Fac Math & Informat, Cluj Napoca 400084, Romania
关键词
Motreanu-Panagiotopoulos type functional; principle of symmetric criticality; variational-hemivariational inequalities; unbounded;
D O I
10.1016/j.jmaa.2006.02.062
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we prove the principle of symmetric criticality for Motreanu-Panagiotopoulos type functionals, i.e., for convex, proper, lower semicontinuous functionals which are perturbed by a locally Lipschitz function. By means of this principle a variational-hemivariational inequality is studied on certain type of unbounded strips. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:975 / 986
页数:12
相关论文
共 26 条
[1]  
BADIALE M, 2005, NOTE NONLINEAR PROBL
[2]   INFINITELY MANY NONRADIAL SOLUTIONS OF A EUCLIDEAN SCALAR FIELD EQUATION [J].
BARTSCH, T ;
WILLEM, M .
JOURNAL OF FUNCTIONAL ANALYSIS, 1993, 117 (02) :447-460
[3]   EXISTENCE AND MULTIPLICITY RESULTS FOR SOME SUPERLINEAR ELLIPTIC PROBLEMS ON R(N) [J].
BARTSCH, T ;
WANG, ZQ .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1995, 20 (9-10) :1725-1741
[4]   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
[5]  
Clarke FH, 1983, OPTIMIZATION NONSMOO
[6]  
D'Avenia P., 2002, ELECT J DIFFERENTIAL, V26, P1
[7]  
Dalyay Z, 2004, ELECT J DIFFERENTIAL, V2004, P1
[9]   Born-Infeld type equations for electrostatic fields [J].
Fortunato, D ;
Orsina, L ;
Pisani, L .
JOURNAL OF MATHEMATICAL PHYSICS, 2002, 43 (11) :5698-5706
[10]  
Gazolla F., 2000, DIFFER INTEGRAL EQU, V13, P47