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

Université Paris XII-Val de Marne

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	361-372
Number of pages	12
Journal	Chinese Annals of Mathematics. Series B
Volume	23
Issue number	3
DOIs	https://doi.org/10.1142/S025295990200033X
State	Published - 2002
Externally published	Yes

Keywords

Carnot-Carathéodory space
Degenerate elliptic operator
Monotonicity
Symmetry

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10.1142/S025295990200033X

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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",

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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

Abstract

Keywords

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