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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Universidad Católica del Norte, Departamento de Matemáticas
2021
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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 |
_version_ |
1718439914954031104 |