P(x)-biharmonic equations involving Leray–Lions type operators with Hardy potentials

Abstract

In this article, we investigate p ( x ) -biharmonic equations involving Leray–Lions type operators with Hardy potentials. New criteria for the existence of at least one or at least three generalized solutions are established via variational methods when the Leray–Lions type operator and the nonlinearity f satisfying suitable hypotheses in variable-exponent Lebesgue spaces.