Over-determined problems for k-Hessian equations in ring-shaped domains

Bo Wang; Jiguang Bao

doi:10.1016/j.na.2015.06.032

Over-determined problems for k-Hessian equations in ring-shaped domains

Bo Wang
, Jiguang Bao^*

^*此作品的通讯作者

Beijing Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

16 引用（Scopus）

摘要

Abstract In this paper, we firstly use a variant of the moving plane method of Alexandroff to obtain radial symmetry of solutions for k-Hessian equations in annulus-type domains, which can be regarded as a generalization of Gidas-Ni-Nirenberg result in 1979. Then we consider an over-determined problem for k-Hessian equations in ring-shaped domains and prove the radial symmetry of the solutions and the domains.

源语言	英语
期刊论文编号	10586
页（从-至）	143-156
页数	14
期刊	Nonlinear Analysis, Theory, Methods and Applications
卷	127
DOI	https://doi.org/10.1016/j.na.2015.06.032
出版状态	已出版 - 27 7月 2015
已对外发布	是

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abstract = "Abstract In this paper, we firstly use a variant of the moving plane method of Alexandroff to obtain radial symmetry of solutions for k-Hessian equations in annulus-type domains, which can be regarded as a generalization of Gidas-Ni-Nirenberg result in 1979. Then we consider an over-determined problem for k-Hessian equations in ring-shaped domains and prove the radial symmetry of the solutions and the domains.",

keywords = "Corner lemma, Moving plane method, Over-determined problem, Radial symmetry, Ring-shaped domain, k-Hessian equation",

author = "Bo Wang and Jiguang Bao",

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AU - Wang, Bo

AU - Bao, Jiguang

PY - 2015/7/27

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N2 - Abstract In this paper, we firstly use a variant of the moving plane method of Alexandroff to obtain radial symmetry of solutions for k-Hessian equations in annulus-type domains, which can be regarded as a generalization of Gidas-Ni-Nirenberg result in 1979. Then we consider an over-determined problem for k-Hessian equations in ring-shaped domains and prove the radial symmetry of the solutions and the domains.

AB - Abstract In this paper, we firstly use a variant of the moving plane method of Alexandroff to obtain radial symmetry of solutions for k-Hessian equations in annulus-type domains, which can be regarded as a generalization of Gidas-Ni-Nirenberg result in 1979. Then we consider an over-determined problem for k-Hessian equations in ring-shaped domains and prove the radial symmetry of the solutions and the domains.

KW - Corner lemma

KW - Moving plane method

KW - Over-determined problem

KW - Radial symmetry

KW - Ring-shaped domain

KW - k-Hessian equation

UR - https://www.scopus.com/pages/publications/84937897616

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DO - 10.1016/j.na.2015.06.032

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JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

M1 - 10586

ER -

Over-determined problems for k-Hessian equations in ring-shaped domains

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