On the existence of solutions to a fourth-order quasilinear resonant problem

Abstract

By means of Morse theory we prove the existence of a nontrivial solution to a superlinear p-harmonic elliptic problem with Navier boundary conditions having a linking structure around the origin. Moreover, in case of both resonance near zero and nonresonance at +∞ the existence of two nontrivial solutions is shown. Copyright © 2002 Hindawi Publishing Corporation.