Variational approach for a Steklov problem involving nonstandard growth conditions

Abstract

<abstract><p>The aim of this paper is to study the multiplicity of solutions for a nonlocal $ p(x) $-Kirchhoff type problem with Steklov boundary value in variable exponent Sobolev spaces. We prove the existence of at least three solutions and a nontrivial weak solution of the problem, using the Ricceri's three critical points theorem together with Mountain Pass theorem.</p></abstract>