Infinitely many solutions for anisotropic elliptic equations with variable exponent

• El Amrouss, Abdelrachid ^[1] ; El Mahraoui, Ali ^[1]
  1. [1] University Mohamed I
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 5, 2021, págs. 1071-1096
• Idioma: inglés
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• Resumen

  • 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.