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

Yuxin Ge; Dong Ye; Feng Zhou

doi:10.1142/S025295990200033X

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

Yuxin Ge^*
, Dong Ye
, Feng Zhou

^*此作品的通讯作者

Université Paris XII-Val de Marne

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

This paper studies the properties of solutions of quasilinear equations involving the plaplacian type operator in general Carnot-Carathéodory 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.

源语言	英语
页（从-至）	361-372
页数	12
期刊	Chinese Annals of Mathematics. Series B
卷	23
期	3
DOI	https://doi.org/10.1142/S025295990200033X
出版状态	已出版 - 2002
已对外发布	是

访问文件

10.1142/S025295990200033X

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{838220ccae7a4633af48c592fa1d43a1,

title = "Comparison, symmetry and monotonicity results for some degenerate elliptic operators in Carnot-Carath{\'e}odory spaces",

abstract = "This paper studies the properties of solutions of quasilinear equations involving the plaplacian type operator in general Carnot-Carath{\'e}odory 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.",

keywords = "Carnot-Carath{\'e}odory space, Degenerate elliptic operator, Monotonicity, Symmetry",

author = "Yuxin Ge and Dong Ye and Feng Zhou",

year = "2002",

doi = "10.1142/S025295990200033X",

language = "英语",

volume = "23",

pages = "361--372",

journal = "Chinese Annals of Mathematics. Series B",

issn = "0252-9599",

publisher = "Springer Verlag",

number = "3",

}

TY - JOUR

T1 - Comparison, symmetry and monotonicity results for some degenerate elliptic operators in Carnot-Carathéodory spaces

AU - Ge, Yuxin

AU - Ye, Dong

AU - Zhou, Feng

PY - 2002

Y1 - 2002

N2 - This paper studies the properties of solutions of quasilinear equations involving the plaplacian type operator in general Carnot-Carathéodory 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.

AB - This paper studies the properties of solutions of quasilinear equations involving the plaplacian type operator in general Carnot-Carathéodory 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.

KW - Carnot-Carathéodory space

KW - Degenerate elliptic operator

KW - Monotonicity

KW - Symmetry

UR - https://www.scopus.com/pages/publications/0036035084

U2 - 10.1142/S025295990200033X

DO - 10.1142/S025295990200033X

M3 - 文章

AN - SCOPUS:0036035084

SN - 0252-9599

VL - 23

SP - 361

EP - 372

JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

IS - 3

ER -

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

摘要

访问文件

其它文件与链接

指纹

引用此