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

dc.creator	El Hammar, Hasnae
dc.creator	Allalou, Chakir
dc.creator	Abbassi, Adil
dc.creator	Kassidi, Abderrazak
dc.date	2022-04-04
dc.identifier	https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2955
dc.identifier	10.4067/S0719-06462022000100063
dc.description	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.	en-US
dc.format	application/pdf
dc.language	eng
dc.publisher	Universidad de La Frontera. Temuco, Chile.	en-US
dc.relation	https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2955/2182
dc.rights	Copyright (c) 2022 H. El Hammar et al.	en-US
dc.rights	https://creativecommons.org/licenses/by-nc/4.0/	en-US
dc.source	CUBO, A Mathematical Journal; Vol. 24 No. 1 (2022); 63–82	en-US
dc.source	CUBO, A Mathematical Journal; Vol. 24 Núm. 1 (2022); 63–82	es-ES
dc.source	0719-0646
dc.source	0716-7776
dc.subject	Fractional p(x)-Laplacian	en-US
dc.subject	weak solution	en-US
dc.subject	discontinuous nonlinearity	en-US
dc.subject	topological degree theory	en-US
dc.title	The topological degree methods for the fractional \(p(\cdot)\)-Laplacian problems with discontinuous nonlinearities	en-US
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion