Existence and multiplicity of solutions for a class of quasilinear problems in Orlicz-Sobolev spaces without Ambrosetti-Rabinowitz condition

摘要

The aim of this work is to establish the existence and multiplicity of solutions for the following class of quasilinear problems where ε is a positive parameter, N ≥ 2 , V, f are continuous functions satisfying some technical conditions and φ is a C~1-function.