On the existence of solutions to a fourth-order quasilinear resonant problem
Shibo Liu1and Marco Squassina2
Received07 Nov 2001
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.