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

Miskolc Mathematical Notes

article

Zehra Yücedag¹ 

[1] Dicle University, Department of Mathematics

关键词: Steklov boundary value;    variational method;    variable exponents;    p(x)-Kirchhofftype equation;    fountain theorem;    mountain pass theorem;    weak solutions;    existence;   

DOI  :  10.18514/MMN.2022.4078

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

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 asumptions on f , we obtain existence of infinitely solutions and at least one nontrivial weak solution.

【 授权许可】

CC BY