Volume 50, Issue 2
Overdetermined Boundary Value Problems in Sn

J. Math. Study, 50 (2017), pp. 165-173.

Published online: 2017-06

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• 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 $S^n$. Ourmethod is based on finding suitable P-functions as Weinberger ([26]).

• Keywords

Overdetermined problems Schiffer's problem P-function

35J15 35R01

guohuan.qiu@mail.mcgill.ca (Guohuan Qiu)

chaoxia@xmu.edu.cn (Chao Xia)

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@Article{JMS-50-165, author = {Qiu , Guohuan and Xia , Chao }, title = {Overdetermined Boundary Value Problems in Sn}, 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 $S^n$. Ourmethod 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 Sn 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://dor.org/10.4208/jms.v50n2.17.03 UR - https://global-sci.org/intro/jms/10007.html KW - Overdetermined problems KW - Schiffer's problem KW - 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 $S^n$. Ourmethod is based on finding suitable P-functions as Weinberger ([26]).

Guohuan Qiu & Chao Xia. (2019). Overdetermined Boundary Value Problems in Sn. Journal of Mathematical Study. 50 (2). 165-173. doi:10.4208/jms.v50n2.17.03
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