Existence of entropy solutions for anisotropic quasilinear degenerated elliptic problems with Hardy potential

• Elhoussine Azroul ^[1] ; Mohammed Bouziani ^[1] ; Abdelkrim Barbara ^[1]
  1. [1] Sidi Mohamed Ben Abdellah University

     Sidi Mohamed Ben Abdellah University

     Fes-Medina, Marruecos

     
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 78, Nº. 4, 2021, págs. 475-499
• Idioma: inglés
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• Resumen

  • The aim of this work is to give an existence result of entropy solutions for anisotropic quasilinear degenerated elliptic problems of the form − div (a(x,u,∇u))+|u|s−1u=f+ρ|u|p0−2u|x|p0, in Ω, where − div (a(x,u,∇u)) is a Leray-Lions operator from W1,(pi)0(Ω,w) to its dual, Ω is an open bounded subset of IRN (N≥2) containing the origin, the datum f is assumed to be merely integrable and ρ is a positive constant.