Formula omitted]-Laplacian equations in [formula omitted] with periodic data and nonperiodic perturbations

Abstract

We consider the p ( x ) -Laplacian equations in R N with periodic data and nonperiodic perturbations being stationary at infinity, where the perturbations are done not only for the coefficients but also for the exponents. Using concentration–compactness principle, under appropriate assumptions, we prove the existence of ground state solutions vanishing at infinity for the equations.