Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities

被引:209
作者
Bonanno, Gabriele [1 ]
Candito, Pasquale [2 ]
机构
[1] Univ Messina, Dept Sci Engn & Architecture, Math Sect, Fac Engn, I-98166 Messina, Italy
[2] Univ Mediterranea Reggio Calabria, Dipartimento Informat Matemat Elettron & Trasport, Fac Ingn, I-89100 Reggio Di Calabria, Italy
关键词
critical points; variational-hemivariational inequalities; Dirichlet problem with discontinuous nonlinearities; multiple solutions;
D O I
10.1016/j.jde.2008.02.025
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Multiple critical points theorems for non-differentiable functionals are established. Applications both to elliptic variational-hemivariational inequalities and eigenvalue problems with discontinuous nonlinearities are then presented. (c) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码:3031 / 3059
页数:29
相关论文
共 42 条
[1]  
Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7
[2]  
[Anonymous], 1996, VARIATIONAL METHODS, DOI DOI 10.1007/978-3-662-03212-1
[3]  
[Anonymous], MATH SCI RES J
[4]   Three solutions for a mixed boundary value problem involving the one-dimensional p-Laplacian [J].
Averna, D ;
Salvati, R .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 298 (01) :245-260
[5]  
AVERNA D, J MATH IN PRESS
[6]  
Averna D., 2003, Topol Methods Nonlinear Anal, V22, P93, DOI [10.12775/TMNA.2003.029, DOI 10.12775/TMNA.2003.029]
[7]   A minimax inequality and its applications to ordinary differential equations [J].
Bonanno, G .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 270 (01) :210-229
[8]   An eigenvalue Dirichlet problem involving the p-Laplacian with discontinuous nonlinearities [J].
Bonanno, G ;
Giovannelli, N .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 308 (02) :596-604
[9]   A critical points theorem and nonlinear differential problems [J].
Bonanno, G .
JOURNAL OF GLOBAL OPTIMIZATION, 2004, 28 (3-4) :249-258
[10]   Multiple critical points theorems without the Palais-Smale condition [J].
Bonanno, G .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 299 (02) :600-614