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

Abstract

<p>In this paper, we aim to tackle the questions of existence and multiplicity of solutions of the $ p(x) $-Kirchhoff problem involving critical exponent and the Steklov boundary value. Further, we research the results from the theory of variable exponent Sobolev spaces, the concentration-compactness principle, and the symmetric mountain pass theorem.</p>