Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 216, pp. 1-14.

Title: Nontrivial solutions for nonlinear problems with one sided resonance
        
Author: George Smyrlis (Tech. Educational Institute of Athens, Greece)

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.

Submitted March 21, 2012. Published November 29, 2012.
Math Subject Classifications: 35J80, 35J85, 58E05.
Key Words: One sided resonance; principal spectral interval;
           Cerami-condition; critical groups; Morse theory.