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Overdetermined Boundary Value Problems in $\mathbb{S}^n$

Overdetermined Boundary Value Problems in $\mathbb{S}^n$
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Year:    2017

Author:    Guohuan Qiu, Chao Xia

Journal of Mathematical Study, Vol. 50 (2017), Iss. 2 : pp. 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]).

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v50n2.17.03

Journal of Mathematical Study, Vol. 50 (2017), Iss. 2 : pp. 165–173

Published online:    2017-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Overdetermined problems Schiffer's problem $P$-function.

Author Details

Guohuan Qiu

Chao Xia

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