Existence result for strongly nonlinear elliptic equations in orlicz—sobolev spaces

• Youssfi, A. ^[1]
  1. [1] Universite Sidi Mohammed Ben Abdallah.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 26, Nº. 2, 2007, págs. 157-187
• Idioma: inglés
• DOI: 10.4067/S0716-09172007000200002
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• Resumen

  • In this paper, we prove the existence of solutions for some strongly nonlinear Dirichlet problems whose model is the following −div(M−1 M(|∇u|) ∇u |∇u| ) + uM(|∇u|) = f − divF in D0 (Ω), where Ω is an open bounded subset of IRN , N ≥ 2. We emphasize that no ∆2-condition is required for the N-function M.

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