Multiple solutions for a class of quasilinear problems involving variable exponents

2014/08/30 by Claudianor O. Alves, Alves, Claudianor O., José L. P. Barreiro +1 · 1 citation
Mathematics · #Geometric Analysis and Curvature Flows #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.1409.0140

arxiv created 2014/08/30 · arxiv updated 2014/09/02

Abstract

In this paper we prove the multiplicity of solutions for a class of quasilinear problems in 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.

Cited by

• Multiplicity of solutions of some quasilinear equations in ℝ^N with variable exponents and concave-convex nonlinearities

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