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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Bibliographic Details
Main Authors: El Amrouss,Abdelrachid, El Mahraoui,Ali
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2021
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Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000501071
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Summary: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.