Electronic Journal of Differential Equations, Vol. 2023 (2023), No. 46, pp. 1-15.

Title: Existence and multiplicity of solutions to a fractional p-Laplacian elliptic Dirichlet problem
       
Authors: Fariba Gharehgazlouei (Razi Univ., Kermanshah, Iran)
         John R. Graef (Univ. of Tennessee, Chattanooga, TN, USA)
         Shapour Heidarkhani (Razi Univ., Kermanshah, Iran)
         Lingju Kong (Univ. of Tennessee, Chattanooga, TN, USA)

Abstract:
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.

Submitted April 13, 2023. Published July 03, 2023.
Math Subject Classifications: 35R11, 35A15, 35J60, 35B38.
Key Words: Fractional p-Laplacian; weak solution; critical points;  variational method.