Subcritical perturbations of resonant linear problems with sign-changing potential

Details Subcritical perturbations of resonant linear problems with sign-changing potential Subcritical perturbations of resonant linear problems with sign-changing potential

2005-11-07

arxiv.org/abs/math/0511165v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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