Nonnegative solutions of some quasilinear elliptic inequalities and applications

被引：14

作者：

D'Ambrosio, L. ^{[1
]}

Mitidieri, E. ^{[2
]}

机构：

[1] Univ Bari, Dept Math, I-70121 Bari, Italy

[2] Univ Trieste, Dept Math & Informat, I-34127 Trieste, Italy

来源：

SBORNIK MATHEMATICS | 2010年 / 201卷 / 06期

关键词：

differential inequalities; p-Laplacian; nonnegative solutions; subelliptic operators; Carnot groups; NONLINEAR SUBELLIPTIC EQUATIONS; LOCAL BEHAVIOR; THEOREM;

D O I：

10.1070/SM2010v201n06ABEH004094

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f : R -> R be a continuous function. It is shown that under certain assumptions on f and A : R -> R(+) weak l(1) solutions of the differential inequality - div(A(|del u|)del u) >= f(u) on R(N) are nonnegative. Some extensions of the result in the framework of subelliptic operators on Carnot groups are considered.

引用

页码：855 / 871

页数：17

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