Multiplicity results for a fourth order quasi-linear problems

A. R. El Amrouss; Fouad Kissi

doi:10.5269/bspm.v32i1.17341

Multiplicity results for a fourth order quasi-linear problems

Authors

A. R. El Amrouss University Mohammed I Faculty of Sciences Department of Mathematics
Fouad Kissi University Mohammed I Faculty of Sciences Department of Mathematics

DOI:

https://doi.org/10.5269/bspm.v32i1.17341

Keywords:

p-biharmonic operator, Variational method, Critical group, Multiple solutions, Morse theory

Abstract

In this paper we prove the existence of nontrivial solutions to a p-biharmonic elliptic equations with Navier boundary conditions. The
results are proved by applying minimax arguments and Morse theory.