Multiplicity of Solutions for Quasilinear $p(x)$-Laplacian Equations in $\mathbb{R}^{N}$

Abstract

This paper investigates the multiplicity of solutions for quasilinear elliptic equations with $p(x)$-Laplacian in $\mathbb{R}^{N}$ by using the nonsmooth critical point theory. We obtain the existence of critical points for nondifferentiable functionals.