MULTIPLE SOLUTIONS FOR A CLASS OF NONLINEAR EQUATIONS VIA THE MOUNTAIN PASS THEOREM

JENICĂ CRÎNGANU

"Dunărea de Jos" University of Galaţi, Department of Mathematics, Galaţi, Romania, e-mail: jcringanu@ugal.ro

Abstract

The aim of this paper is to study the existence of the multiple solutions for the abstract equation Jp u=Nf u, where Jp is the duality mapping on a real reflexive and smooth Banach space X, corresponding to the gauge function φ(t)=tp-1, 1

Keywords

p-Laplacian Duality mapping Mountain Pass theorem