Nontrivial solutions for nonlinear problems with one sided resonance

Abstract

We find nontrivial smooth solutions for nonlinear elliptic Dirichlet problems driven by the p-Laplacian ($1<p<infty$), when one sided resonance occurs at the principal spectral interval.

Keywords

• One sided resonance
• principal spectral interval
• Cerami-condition
• critical groups
• Morse theory