Renormalized Solutions for Nonlinear Degenerate Elliptic Problems with L1 Data

被引：0

作者：

Ammar, Kaouther ^{[1
]}

Redwane, Hicham ^{[2
]}

机构：

[1] Inst Math, D-10623 Berlin, Germany

[2] Univ Hassan 1, Fac Sci Jurid Econ & Sociales, Settat, Morocco

来源：

REVISTA MATEMATICA COMPLUTENSE | 2009年 / 22卷 / 01期

关键词：

Renormalized solutions; nonlinear degenerate elliptic equations; weighted Sobolev spaces; EXISTENCE; EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：37 / 52

页数：16

共 18 条

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