Quasilinear elliptic inequalities on complete Riemannian manifolds

被引：19
作者：
Antonini, Paolo
Mugnai, Dimitri
Pucci, Patrizia
机构：
[1] Sapienza Univ Roma, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy
[2] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2007年 / 87卷 / 06期
关键词：
singular and degenerate elliptic inequalities on manifolds; comparison principles;
D O I：
10.1016/j.matpur.2007.04.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove maximum and comparison principles for weak distributional solutions of quasilinear, possibly singular or degenerate, elliptic differential inequalities in divergence form on complete Riemannian manifolds. A new definition of ellipticity for nonlinear operators on Riemannian manifolds is introduced, covering the standard important examples. As an application, uniqueness results for some related boundary value problems are presented. (c) 2007 Elsevier Masson SAS. All rights reserved.
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页码：582 / 600
页数：19
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