The topological degree methods for the fractional \(p(\cdot)\)-Laplacian problems with discontinuous nonlinearities

  • Hasnae El Hammar Laboratory LMACS, FST of Beni-Mellal, Sultan Moulay Slimane University, Morocco.
  • Chakir Allalou Laboratory LMACS, FST of Beni-Mellal, Sultan Moulay Slimane University, Morocco.
  • Adil Abbassi Laboratory LMACS, FST of Beni-Mellal, Sultan Moulay Slimane University, Morocco.
  • Abderrazak Kassidi Laboratory LMACS, FST of Beni-Mellal, Sultan Moulay Slimane University, Morocco.
Keywords: Fractional p(x)-Laplacian, weak solution, discontinuous nonlinearity, topological degree theory

Abstract

In this article, we  use the topological degree based on the abstract Hammerstein equation to investigate the existence of weak solutions for a class of elliptic Dirichlet boundary value problems involving the fractional \(p(x)\)-Laplacian operator with discontinuous nonlinearities. The appropriate functional framework for this problems is the fractional Sobolev space with variable exponent.

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Published
2022-04-04
How to Cite
[1]
H. El Hammar, C. Allalou, A. Abbassi, and A. Kassidi, “The topological degree methods for the fractional \(p(\cdot)\)-Laplacian problems with discontinuous nonlinearities”, CUBO, vol. 24, no. 1, pp. 63–82, Apr. 2022.
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Articles