Renormalized Solutions for Nonlinear Degenerate Elliptic Problems with L<sup>1</sup> Data

  • Kaouther Ammar
  • Hicham Redwane

Resumo

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 (Ω, w). Existence of a renormalized solution is proved in the L1-setting.

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Publicado
2009-03-11
Como Citar
Ammar K. y Redwane H. (2009). Renormalized Solutions for Nonlinear Degenerate Elliptic Problems with L<sup>1</sup> Data. Revista Matemática Complutense, 22(1), 37-52. https://doi.org/10.5209/rev_REMA.2009.v22.n1.16308
Secção
Artículos