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Abstract:
Let Omega be a bounded simply connected domain in R-n with connected boundary of class C-2. We show that, if there exist n functions satisfying some overdetermined system with boundary conditions involving mean curvature of partial derivative Omega, then Omega is a ball. The proof is based on the maximum principle and Serrin's theorem. (C) 2012 Elsevier Inc. All rights reserved.
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Source :
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN: 0022-247X
Year: 2012
Issue: 2
Volume: 393
Page: 489-492
1 . 0 5
JCR@2012
1 . 2 2 0
JCR@2019
ESI Discipline: MATHEMATICS;
ESI HC Threshold:84
JCR Journal Grade:2
CAS Journal Grade:2
Cited Count:
WoS CC Cited Count: 2
SCOPUS Cited Count: 3
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 9
Affiliated Colleges: