Existence of solutions for unilateral problems with L¹ data in Orlicz spaces

• Aharouch, L. ^[1] ; Rhoudaf, Mohamed ^[1]
  1. [1] Sidi Mohamed Ben Abdellah University

     Sidi Mohamed Ben Abdellah University

     Fes-Medina, Marruecos

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 23, Nº. 3, 2004, págs. 293-317
• Idioma: inglés
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• Resumen

  • This article is concerned with the existence result of the unilateral problem associated to equations of the typeAu + g(x, u, ∇u) = f,in Orlicz spaces, where f ∈ L¹(Ω), the term g is a nonlinearity having natural growth and satisfying the sign condition. Some stability and positivity properties of solutions are proved.