Kato's inequality when Δu is a measure

被引：43

作者：

Brezis, H

Ponce, AC

机构：

[1] Univ Paris 06, Lab Jacques Louis Lions, F-75252 Paris 05, France

[2] Rutgers State Univ, Dept Math, Hill Ctr, Piscataway, NJ 08854 USA

来源：

COMPTES RENDUS MATHEMATIQUE | 2004年 / 338卷 / 08期

关键词：

D O I：

10.1016/j.crma.2003.12.032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the classical version of Kato's inequality in order to allow functions it u epsilon L-loc(1) such that Deltau is a Radon measure. This inequality has been recently applied by Brezis, Marcus, and Ponce to study the existence of solutions of the nonlinear equation -Deltau + g(u) = mu, where mu is a measure and g: R --> R is a nondecreasing continuous function. (C) 2004 Academie des sciences. Published by Elsevier SAS. All rights reserved.

引用

页码：599 / 604

页数：6

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