Open AccessInfinitely many solutions for anisotropic elliptic equations with variable exponent
Author(s) -
Abdelrachid El Amrouss,
Ali El Mahraoui
Publication year - 2021
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-3921
Subject(s) - fountain , anisotropy , mathematics , multiplicity (mathematics) , mathematical analysis , exponent , separable space , class (philosophy) , pure mathematics , physics , quantum mechanics , computer science , linguistics , philosophy , archaeology , artificial intelligence , history
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.