Multiple solutions for two classes of quasilinear problems defined on a nonreflexive Orlicz-Sobolev space

Abstract

In this paper, we prove the existence and multiplicity of solutions for a large class of quasilinear problems on a nonreflexive Orlicz-Sobolev space. Here, we use the variational methods developed by Szulkin combined with some properties of the weak${}^{\ast }$ topology.

arXiv admin note: text overlap with arXiv:2005.00303, arXiv:1704.03562