Comparison, symmetry and monotonicity results for some degenerate elliptic operators in Carnot-Caratheodory spaces

被引：1

作者：

Ge, YX

Ye, D

Zhou, F

机构：

[1] Univ Paris 12, Fac Sci & Technol, Dept Math, F-94010 Creteil, France

[2] ENS, CMLA, F-94235 Cachan, France

[3] St Martin Univ Cergy Pontoise, Dept Math, F-95302 Cergy Pontoise, France

[4] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2002年 / 23卷 / 03期

关键词：

Carnot-Caratheodory space; symmetry; monotonicity; degenerate elliptic operator;

D O I：

10.1142/S025295990200033X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the properties of solutions of quasilinear equations involving the p-laplacian type operator in general Carnot-Caratheodory spaces. The authors show some comparison results for solutions of the relevant differential inequalities and use them to get some symmetry and monotonicity properties of solutions, in bounded or unbounded domains.

引用

页码：361 / 372

页数：12

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