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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Main Authors: El Hammar,Hasnae, Allalou,Chakir, Abbassi,Adil, Kassidi,Abderrazak
Format: Digital revista
Language:English
Published: Universidad de La Frontera. Departamento de Matemática y Estadística. 2022
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462022000100063
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spelling oai:scielo:S0719-064620220001000632022-05-13The topological degree methods for the fractional p(·)-Laplacian problems with discontinuous nonlinearitiesEl Hammar,HasnaeAllalou,ChakirAbbassi,AdilKassidi,Abderrazak 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.24 n.1 20222022-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462022000100063en10.4067/S0719-06462022000100063
institution SCIELO
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country Chile
countrycode CL
component Revista
access En linea
databasecode rev-scielo-cl
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author El Hammar,Hasnae
Allalou,Chakir
Abbassi,Adil
Kassidi,Abderrazak
spellingShingle El Hammar,Hasnae
Allalou,Chakir
Abbassi,Adil
Kassidi,Abderrazak
The topological degree methods for the fractional p(·)-Laplacian problems with discontinuous nonlinearities
author_facet El Hammar,Hasnae
Allalou,Chakir
Abbassi,Adil
Kassidi,Abderrazak
author_sort El Hammar,Hasnae
title The topological degree methods for the fractional p(·)-Laplacian problems with discontinuous nonlinearities
title_short The topological degree methods for the fractional p(·)-Laplacian problems with discontinuous nonlinearities
title_full The topological degree methods for the fractional p(·)-Laplacian problems with discontinuous nonlinearities
title_fullStr The topological degree methods for the fractional p(·)-Laplacian problems with discontinuous nonlinearities
title_full_unstemmed The topological degree methods for the fractional p(·)-Laplacian problems with discontinuous nonlinearities
title_sort topological degree methods for the fractional p(·)-laplacian problems with discontinuous nonlinearities
description 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.
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2022
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462022000100063
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AT allalouchakir thetopologicaldegreemethodsforthefractionalplaplacianproblemswithdiscontinuousnonlinearities
AT abbassiadil thetopologicaldegreemethodsforthefractionalplaplacianproblemswithdiscontinuousnonlinearities
AT kassidiabderrazak thetopologicaldegreemethodsforthefractionalplaplacianproblemswithdiscontinuousnonlinearities
AT elhammarhasnae topologicaldegreemethodsforthefractionalplaplacianproblemswithdiscontinuousnonlinearities
AT allalouchakir topologicaldegreemethodsforthefractionalplaplacianproblemswithdiscontinuousnonlinearities
AT abbassiadil topologicaldegreemethodsforthefractionalplaplacianproblemswithdiscontinuousnonlinearities
AT kassidiabderrazak topologicaldegreemethodsforthefractionalplaplacianproblemswithdiscontinuousnonlinearities
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