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.
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页码：855 / 871
页数：17
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