Existence and Multiplicity of Solutions for Noncoercive Neumann Problems with p-Laplacian

• Authors: Leszek Gasiński , Nikolaos S. Papageorgiou
• Languages of publication: PL

Abstracts

PL

We consider a nonlinear Neumann elliptic equation driven by the p-Laplacian and a Carathéodory perturbation. The energy functional of the problem need not be coercive. Using variational methods we prove an existence theorem and a multiplicity theorem, producing two nontrivial smooth solutions. Our formulation incorporates strongly resonant equations..

Keywords

PL

Palais-Smale condition, noncoercive functional, second deformation theorem

• Publisher: [unknown2]
• Journal: Schedae Informaticae
• Year: 2012
• Volume: 21

Dates

published

2012

online

21 - 05 - 2015

Contributors

author

Leszek Gasiński

author

Nikolaos S. Papageorgiou