The topological degree methods for the fractional \(p(\cdot)\)-Laplacian problems with discontinuous nonlinearities
- Hasnae El Hammar hasnaeelhammar11@gmail.com
- Chakir Allalou chakir.allalou@yahoo.fr
- Adil Abbassi abbassi91@yahoo.fr
- Abderrazak Kassidi abderrazakassidi@gmail.com
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DOI:
https://doi.org/10.4067/S0719-06462022000100063Abstract
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.
Keywords
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