On the existence of multiple nontrivial solutions for resonant neumann problems

We consider a semilinear second order elliptic problem with Neumann boundary conditions and a nonsmooth potential (hemivariational inequality). Using nonsmooth critical point theory, we establish the existence of at least two nontrivial smooth solutions, when double resonance occurs at the origin be...

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Bibliographic Details
Main Author: Papageorgiou, Nikolaos (author)
Other Authors: Santos, Sandrina (author), Staicu, Vasile (author)
Format: article
Language:eng
Published: 1000
Subjects:
Locally Lipschitz function
Generalized subdifferential
Double resonance
Local linking
Palais-Smale condition
Online Access:http://hdl.handle.net/10773/5278
Country:Portugal
Oai:oai:ria.ua.pt:10773/5278
Description
Summary:We consider a semilinear second order elliptic problem with Neumann boundary conditions and a nonsmooth potential (hemivariational inequality). Using nonsmooth critical point theory, we establish the existence of at least two nontrivial smooth solutions, when double resonance occurs at the origin between any two distinct successive eigenvalues.

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