Variational approach for a Steklov problem involving nonstandard growth conditions

AIMS Mathematics

article

Zehra Yucedag¹ 

[1] Dicle University, Faculty of Science, Department of Mathematics

关键词: variational methods;    $ p(x) $-Kirchhoff type equation;    Steklov boundary value;    Ricceri's critical points theorem;    weak solution;   

DOI  :  10.3934/math.2023269

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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.

【 授权许可】

CC BY