Existence of Renormalized Solution of Some Elliptic Problems in Orlicz Spaces

• Autores: L. Aharouch, Jaouad Bennouna, Abdelfattah Touzani
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 22, Nº 1, 2009, págs. 91-110
• Idioma: inglés
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• Resumen

  • In this paper, we study the problem:-div a(x, u, Du) -div F(u) + g(x; u) = f in the framework of Orlicz spaces. The main contribution of our work is to prove the existence of a renormalized solution without any restriction on the N-function of the Orlicz space.