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

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

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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Autores principales: El Hammar,Hasnae, Allalou,Chakir, Abbassi,Adil, Kassidi,Abderrazak
Formato: Digital revista
Idioma:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2022
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462022000100063
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