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Renormalized Solutions for Nonlinear Degenerate Elliptic Problems with L-1 Data
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Renormalized Solutions for Nonlinear Degenerate Elliptic Problems with L-1 Data

Kaouther Ammar and Hicham Redwane
Revista matemática complutense, Vol.22(1), pp.37-52
01/01/2009

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We are interested in a class of nonlinear degenerate diffusion problems with a diffusion function a(x, u, del u) which is not controlled with respect to u and which is not uniformly coercive on the weighted Sobolev spaces W-0(1,p)(Omega, omega). Existence of a renormalized solution is proved in the L-1-setting.

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