Qualitative properties for solutions of singular elliptic inequalities on complete manifolds

被引：21

作者：

Pucci, Patrizia

Rigoli, Marco

Serrin, James ^{[1
]}

机构：

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

[2] Univ Milan, Dipartimento Matemat, I-29100 Milan, Italy

[3] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年 / 234卷 / 02期

关键词：

quasilinear singular elliptic inequalities on manifolds; compact support principles; dead cores;

D O I：

10.1016/j.jde.2006.11.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish several qualitative properties for solutions of singular quasilinear elliptic differential inequalities on complete Riemannian manifolds, such as the validity of the compact support principle, of the strong maximum principle, existence of solutions to exterior Dirichlet problems, existence of dead core solutions. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：507 / 543

页数：37

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