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

[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.

[学科分类] 数学（综合）

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