Existence and multiplicity of solutions to a fractional p-Laplacian elliptic Dirichlet problem

Electronic Journal of Differential Equations

article

Fariba Gharehgazlouei¹  John R. Graef²  Shapour Heidarkhani³  Lingju Kong² 

[1] Department of Mathematics Faculty of Sciences Razi University 67149 Kermanshah;Department of Mathematics University of Tennessee at Chattanooga Chattanooga;Department of Mathematics Faculty of Sciences Razi University Kermanshah 67149

关键词: Fractional p-Laplacian;    weak solution;    critical points;    variational method.;   

DOI  :  10.58997/ejde.2023.46

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

In this article, the authors consider a fractional p-Laplacian elliptic Dirichlet problem. Using critical point theory and the variational method, they investigate the existence of at least one, two, and three solutions to the problem. Examples illustrating the results are interspaced in the paper.

【 授权许可】

CC BY