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http://hdl.handle.net/10773/5262
Título: | Eigenvalue problems for hemivariational inequalities |
Autor: | Papageorgiou, Nikolaos Santos, Sandrina Rafaela Andrade Staicu, Vasile |
Palavras-chave: | Locally Lipschitz function Generalized subdifferential Linking set AR-condition Multiple solutions |
Data: | 2008 |
Editora: | Springer Verlag |
Resumo: | We consider a semilinear eigenvalue problem with a nonsmooth potential (hemivariational inequality). Using a nonsmooth analog of the local Ambrosetti–Rabinowitz condition (AR-condition), we show that the problem has a nontrivial smooth solution. In the scalar case, we show that we can relax the local AR-condition. Finally, for the resonant λ = λ 1 problem, using the nonsmooth version of the local linking theorem, we show that the problem has at least two nontrivial solutions. Our approach is variational, using minimax methods from the nonsmooth critical point theory. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/5262 |
ISSN: | 0927-6947 |
Aparece nas coleções: | DMat - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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P45_SVAN_16_2008_1061_1087.pdf | 544.89 kB | Adobe PDF |
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