MMN-4321

Existence and multiplicity of solutions for a p(x)-Kirchhoff type equation with Steklov boundary

Zehra Yücedag;

Abstract

In this paper we study a class of p(x)-Kirchhoff type problem with Steklov boundary value in variable exponent Sobolev spaces. By applying the Ricceri’s three critical points theorem and Mountain Pass theorem, we show the existence of at least three solutions and a nontrivial weak solution under appropriate asumptions on f


Vol. 25 (2024), No. 1, pp. 523-536
DOI: https://doi.org/10.18514/MMN.2024.4321


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