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* topology.

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