Multiplicity of solutions of some quasilinear equations in ${\mathbb{R}}^N$ with variable exponents and concave-convex nonlinearities

Abstract

In this paper, we prove multiplicity of solutions for a class of quasilinear problems in ${\mathbb{R}}^N$ involving variable exponents and nonlinearities of concave-convex type. The main tools used are variational methods, more precisely, Ekeland's variational principle and Nehari manifolds.

arXiv admin note: substantial text overlap with arXiv:1409.0140