Subcritical perturbations of resonant linear problems with sign-changing potential
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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.
Rights
Attribution 4.0 International