Infinitely many solutions for a p(x)-Kirchhoff type equation with Steklov boundary value

Abstract

In the present article deal with the existence and multiplicity of solutions to a class of p(x)-Kirchhoff type problem with Steklov boundary-value. By variational approach and theory of the variable exponent Sobolev spaces, under appropriate assumptions on f , we obtain existence of infinitely solutions and at least one nontrivial weak solution.