On Strongly Nonlinear Eigenvalue Problems in the Framework of Nonreflexive Orlicz-Sobolev Spaces

Edcarlos D. Silva; Jose V. A. Goncalves; Kaye O. Silva

paper

On Strongly Nonlinear Eigenvalue Problems in the Framework of Nonreflexive Orlicz-Sobolev Spaces

arXiv:1610.02662

Abstract

It is established existence and multiplicity of solutions for strongly nonlinear problems driven by the $Φ$ -Laplacian operator on bounded domains. Our main results are stated without the so called $Δ_{2}$ condition at infinity which means that the underlying Orlicz-Sobolev spaces are not reflexive.