A strong maximum principle and a compact support principle for singular elliptic inequalities

被引：87

作者：

Pucci, P ^{[1
]}

Serrin, J

Zou, HH

机构：

[1] Univ Perugia, Dept Math, I-06100 Perugia, Italy

[2] Univ Minnesota, Dept Math, Minneapolis, MN 55455 USA

[3] Univ Alabama, Dept Math, Birmingham, AL 35294 USA

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 1999年 / 78卷 / 08期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/S0021-7824(99)00030-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Vazquez in 1984 established a strong maximum principle for the classical m-laplace differential inequality Delta(m)u - f(u) less than or equal to 0, where Delta(m)u = div(\Du\(m-2)Du) and f(u) is a non-decreasing continuous function with f(0) = 0. We extend this principle to a wide class of singular inequalities involving quasilinear divergence structure elliptic operators, and also consider the converse problem of compact support solutions in exterior domains. (C) Elsevier, Paris.

引用

页码：769 / 789

页数：21

共 13 条

[1]

[Anonymous], 1967, B UNIONE MAT ITAL

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