Subcritical perturbations of resonant linear problems with sign-changing potential

Teodora Liliana Dinu

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Subcritical perturbations of resonant linear problems with sign-changing potential

Teodora Liliana Dinu

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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.

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Teodora Liliana Dinu. 2005-11-07. Subcritical perturbations of resonant linear problems with sign-changing potential. https://arxiv.org/abs/math/0511165

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