Multiple solutions for a class of quasilinear problems involving variable exponents

preprint2014arXivOpen access

Abstract

In this paper we prove the multiplicity of solutions for a class of quasilinear problems in RN \mathbb{R}^{N} involving variable exponents. The main tool used is in the proof are the direct methods, Ekeland's variational principle and some properties related to Nehari manifold.

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