Subcritical perturbations of resonant linear problems with sign-changing potential
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We establish existence and multiplicity theorems for a Dirichlet boundary value problem at resonance, which is a nonlinear subcritical perturbation of a linear eigenvalue problem studied by Cuesta. Our framework includes a sign-changing potential and we locate the solutions by using the Mountain Pass lemma and the Saddle Point theorem.
Keywords
Cite
@article{arxiv.math/0511165,
title = {Subcritical perturbations of resonant linear problems with sign-changing potential},
author = {Teodora Liliana Dinu},
journal= {arXiv preprint arXiv:math/0511165},
year = {2007}
}