Please use this identifier to cite or link to this item:
Title: Eigenvalue problems for hemivariational inequalities
Author: Papageorgiou, Nikolaos
Santos, Sandrina Rafaela Andrade
Staicu, Vasile
Keywords: Locally Lipschitz function
Generalized subdifferential
Linking set
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
ISSN: 0927-6947
Appears in Collections:DMat - Artigos

Files in This Item:
File Description SizeFormat 
P45_SVAN_16_2008_1061_1087.pdf544.89 kBAdobe PDFrestrictedAccess

Formato BibTex MendeleyEndnote Degois 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.