Subcritical perturbations of resonant linear problems with sign-changing potential

Date

2005-10-24

Authors

Dinu, Teodora-Liliana

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

We establish existence and multiplicity theorems for a Dirichlet boundary-value problem at resonance. This problem is a nonlinear subcritical perturbation of a linear eigenvalue problem studied by Cuesta, and includes a sign-changing potential. We obtain solutions using the Mountain Pass lemma and the Saddle Point theorem. Our paper extends some recent results of Goncalves, Miyagaki, and Ma.

Description

Keywords

Eigenvalue problem, Semilinear elliptic equation, Existence result, Critical points

Citation

Dinu, T. L. (2005). Subcritical perturbations of resonant linear problems with sign-changing potential. <i>Electronic Journal of Differential Equations, 2005</i>(117), pp. 1-15.

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Attribution 4.0 International

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