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

Claudianor O. Alves, José L. P. Barreiro, José V. A. Gonçalves

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.…