Infinitely many solutions for anisotropic elliptic equations with variable exponent

Abstract In this article, we study the existence and multiplicity of solutions for a class of anisotropic elliptic equations First we establisch that anisotropic space is separable and by using the Fountain theorem, and dual Fountain theorem we prove, under suitable conditions, that the problem (...

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Autores principales: El Amrouss,Abdelrachid, El Mahraoui,Ali
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2021
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000501071
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spelling oai:scielo:S0716-091720210005010712021-10-05Infinitely many solutions for anisotropic elliptic equations with variable exponentEl Amrouss,AbdelrachidEl Mahraoui,Ali Quasilinear elliptic equations variable exponent Lebesgue space anisotropic space Fountain theorem dual Fountain theorem Abstract In this article, we study the existence and multiplicity of solutions for a class of anisotropic elliptic equations First we establisch that anisotropic space is separable and by using the Fountain theorem, and dual Fountain theorem we prove, under suitable conditions, that the problem (P) admits two sequences of weak solutions.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.5 20212021-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000501071en10.22199/issn.0717-6279-3921
institution Scielo Chile
collection Scielo Chile
language English
topic Quasilinear elliptic equations
variable exponent Lebesgue space
anisotropic space
Fountain theorem
dual Fountain theorem
spellingShingle Quasilinear elliptic equations
variable exponent Lebesgue space
anisotropic space
Fountain theorem
dual Fountain theorem
El Amrouss,Abdelrachid
El Mahraoui,Ali
Infinitely many solutions for anisotropic elliptic equations with variable exponent
description Abstract In this article, we study the existence and multiplicity of solutions for a class of anisotropic elliptic equations First we establisch that anisotropic space is separable and by using the Fountain theorem, and dual Fountain theorem we prove, under suitable conditions, that the problem (P) admits two sequences of weak solutions.
author El Amrouss,Abdelrachid
El Mahraoui,Ali
author_facet El Amrouss,Abdelrachid
El Mahraoui,Ali
author_sort El Amrouss,Abdelrachid
title Infinitely many solutions for anisotropic elliptic equations with variable exponent
title_short Infinitely many solutions for anisotropic elliptic equations with variable exponent
title_full Infinitely many solutions for anisotropic elliptic equations with variable exponent
title_fullStr Infinitely many solutions for anisotropic elliptic equations with variable exponent
title_full_unstemmed Infinitely many solutions for anisotropic elliptic equations with variable exponent
title_sort infinitely many solutions for anisotropic elliptic equations with variable exponent
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2021
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000501071
work_keys_str_mv AT elamroussabdelrachid infinitelymanysolutionsforanisotropicellipticequationswithvariableexponent
AT elmahraouiali infinitelymanysolutionsforanisotropicellipticequationswithvariableexponent
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