Fariba Gharehgazlouei, John R. Graef, Shapour Heidarkhani, Lingju Kong
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 3, 2023.
Math Subject Classifications: 35R11, 35A15, 35J60, 35B38.
Key Words: Fractional p-Laplacian; weak solution; critical points; variational method.
DOI: https://doi.org/10.58997/ejde.2023.46
Show me the PDF file (345 KB), TEX file for this article.
 |
Fariba Gharehgazlouei Department of Mathematics Faculty of Sciences Razi University 67149 Kermanshah, Iran email: f.gharehgazloo@yahoo.com |
|---|---|
 |
John R. Graef Department of Mathematics University of Tennessee at Chattanooga Chattanooga, TN 37403, USA email: John-Graef@utc.edu |
 |
Shapour Heidarkhani Department of Mathematics Faculty of Sciences Razi University Kermanshah 67149, Iran email: s.heidarkhani@razi.ac.ir |
 |
Lingju Kong Department of Mathematics University of Tennessee at Chattanooga Chattanooga, TN 37403, USA email: Lingju-Kong@utc.edu |
Return to the EJDE web page