Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/5262
Title: | Eigenvalue problems for hemivariational inequalities |
Author: | Papageorgiou, Nikolaos Santos, Sandrina Rafaela Andrade Staicu, Vasile |
Keywords: | Locally Lipschitz function Generalized subdifferential Linking set AR-condition Multiple solutions |
Issue Date: | 2008 |
Publisher: | Springer Verlag |
Abstract: | 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 |
Appears in Collections: | DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
P45_SVAN_16_2008_1061_1087.pdf | 544.89 kB | Adobe PDF |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.