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

  • Kaouther Ammar
  • Hicham Redwane
DOI: https://doi.org/10.5209/rev_REMA.2009.v22.n1.16308
Keywords: Renormalized solutions, Nonlinear degenerate elliptic equations, Weighted Sobolev spaces

Abstract

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.

Downloads

Download data is not yet available.

Article download

Crossmark

Metrics

Published
2009-03-11
How to Cite
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
Issue
Vol. 22 No. 1 (2009)
Section
Articles

License

LICENCE OF USE: The full text articles included on the Scientific Journals of the Complutense website are open access and the property of their authors and/or publishers. Therefore, any reproduction, distribution, public communication and/or total or partial transformation requires their express and written consent. Links to the full text of the articles on the Scientific Journals of the Complutense website should be to the official URL of the Complutense University of Madrid.