Existence Results for Quasilinear Hemivariational Inequalities at Resonance


       Leszek Gasiński, gasinski(at)softlab.ii.uj.edu.pl, http://www.ii.uj.edu.pl/~gasinski/
       Jagiellonian University, Institute of Computer Science, Nawojki 11, 30-072 Cracow, Poland

Pages: 19

Abstract: In this paper we consider quasilinear hemivariational inequality at resonance. We obtain two existence theorems using a Landesman-Lazer type condition. The method of the proof is based on the nonsmooth critical point theory for locally Lipschitz functions.

Keywords: p-Laplacian, strong resonance at infinity, first eigenvalue, Clarke subdifferential, nonsmooth Palais-Smile condition, nonsmooth Cerami condition, Landesman-Lazer type conditions, mountain pass theorem.

Published: Discrete and Continuous Dynamical Systems, A Suplement Volume (2007), 409-418.