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.