Renormalized Solutions for Nonlinear Degenerate Elliptic Problems with L1 Data

• Autores: Kaouther Ammar, Hicham Redwane
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 22, Nº 1, 2009, págs. 37-52
• Idioma: inglés
• DOI: 10.5209/rev_rema.2009.v22.n1.16308
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• Resumen

  • We are interested in a class of nonlinear degenerate diffusion problems with a diffusion function a(x, u, Vu) which is not controlled with respect to u and which is not uniformly coercive on the weighted Sobolev spaces W1,p0 (O, w). Existence of a renormalized solution is proved in the L1-setting.