Multiple solutions for semilinear resonant elliptic problems with discontinuous nonlinearities via nonsmooth double linking theorem

被引:0
作者
Kaimin Teng
机构
[1] Peking University,LAMA, The School of Mathematics
来源
Journal of Global Optimization | 2010年 / 46卷
关键词
Double linking; Critical point; Locally Lipschitz; Nonsmooth; 34C25; 58E30; 47H04;
D O I
暂无
中图分类号
学科分类号
摘要
In the present paper, some multiplicity results for semilinear resonant elliptic problems with discontinuous nonlinearities are obtained by using our extended double linking theorem.
引用
收藏
页码:89 / 110
页数:21
相关论文
共 24 条
[1]  
Chang K.(1981)Variational methods for non-differential functions and their applications to partial differential equations J. Math. Anal. Appl. 80 102-129
[2]  
Denkowski Z.(2006)Nontrivial solutions for resonant hemivariational inequalities J. Glob. Optim. 34 317-337
[3]  
Gasinski L.(2006)Multiple positive solutions for eigenvalue problems of Hemivariational inequalities Positivity 10 491-515
[4]  
Papageorgiou N.(2006)Multiplicity of nontrivial solutions for elliptic equations with nonsmooth potential and resonance at higher eigenvalues Proc. Indian Acad. Sci. 116 233-255
[5]  
Filippakis M.(2000)Nonsmooth critical point theory and nonlinear elliptic equations at resonance J. Aust. Math. Soc. 69 245-271
[6]  
Gasinski L.(2004)Solvability of semilinear hemivariational inequalities at resonance using generalized Landesman-CLazer conditions Monatsh. Math. 142 227-241
[7]  
Papageorgiou N.S.(2002)On a three critical points theorem for non-differential functions and applications to nonlinear boundary value problems Nonlinear Analy. TMA 48 37-52
[8]  
Gasinki L.(2004)Existence of solutions and of multiple solutions for nonlinear nonsmooth periodic systems Czechoslov. Math. J. 54 347-371
[9]  
Motreanu D.(1994)Pairs of critical points produced by linking subsets with applications to semilinear elliptic problems Bull. Soc. Math. Belg. 44 249-261
[10]  
Papageorgiou N.(2003)Double linking theorem and multiple solutions J. Funct. Anal. 205 37-61