Overdetermined Boundary Value Problems in $\mathbb{S}^n$
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@Article{JMS-50-165,
author = {Qiu , Guohuan and Xia , Chao},
title = {Overdetermined Boundary Value Problems in $\mathbb{S}^n$},
journal = {Journal of Mathematical Study},
year = {2017},
volume = {50},
number = {2},
pages = {165--173},
abstract = {
In this paper we use the maximum principle and the Hopf lemma to prove symmetry results to some overdetermined boundary value problems for domains in the hemisphere or star-shaped domains in $S^n$. Our method is based on finding suitable $P$-functions as Weinberger ([26]).
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v50n2.17.03}, url = {http://global-sci.org/intro/article_detail/jms/10007.html} }
TY - JOUR
T1 - Overdetermined Boundary Value Problems in $\mathbb{S}^n$
AU - Qiu , Guohuan
AU - Xia , Chao
JO - Journal of Mathematical Study
VL - 2
SP - 165
EP - 173
PY - 2017
DA - 2017/06
SN - 50
DO - http://doi.org/10.4208/jms.v50n2.17.03
UR - https://global-sci.org/intro/article_detail/jms/10007.html
KW - Overdetermined problems, Schiffer's problem, $P$-function.
AB -
In this paper we use the maximum principle and the Hopf lemma to prove symmetry results to some overdetermined boundary value problems for domains in the hemisphere or star-shaped domains in $S^n$. Our method is based on finding suitable $P$-functions as Weinberger ([26]).
Guohuan Qiu & Chao Xia. (2019). Overdetermined Boundary Value Problems in $\mathbb{S}^n$.
Journal of Mathematical Study. 50 (2).
165-173.
doi:10.4208/jms.v50n2.17.03
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