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

DOI:

https://doi.org/10.58997/ejde.2023.46

Keywords:

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

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.

For more information see https://ejde.math.txstate.edu/Volumes/2023/46/abstr.html

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Published

2023-07-03

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How to Cite

Existence and multiplicity of solutions to a fractional p-Laplacian elliptic Dirichlet problem. (2023). Electronic Journal of Differential Equations, 2023(01-87), No. 46, 1-15. https://doi.org/10.58997/ejde.2023.46