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^*

^*Corresponding author for this work

Beijing Normal University

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

14 Citations (Scopus)

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.

Original language	English
Article number	10586
Pages (from-to)	143-156
Number of pages	14
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	127
DOIs	https://doi.org/10.1016/j.na.2015.06.032
Publication status	Published - 27 Jul 2015
Externally published	Yes

Keywords

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

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10.1016/j.na.2015.06.032

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title = "Over-determined problems for k-Hessian equations in ring-shaped domains",

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

Y1 - 2015/7/27

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 - http://www.scopus.com/inward/record.url?scp=84937897616&partnerID=8YFLogxK

U2 - 10.1016/j.na.2015.06.032

DO - 10.1016/j.na.2015.06.032

M3 - Article

AN - SCOPUS:84937897616

SN - 0362-546X

VL - 127

SP - 143

EP - 156

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

Abstract

Keywords

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