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Abstract:
We investigate an overdetermined problem for the torsion equation Delta u = -1 in an unbounded domain in R-3. Under some additional conditions, we show that the solution is a one-dimensional quadratic function and that the boundary of the domain is a pair of parallel planes. The proof is based on the maximum principle. (C) 2017 Elsevier Inc. All rights reserved.
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN: 0022-247X
Year: 2017
Issue: 1
Volume: 455
Page: 477-499
1 . 1 3 8
JCR@2017
1 . 2 2 0
JCR@2019
ESI Discipline: MATHEMATICS;
ESI HC Threshold:50
JCR Journal Grade:2
CAS Journal Grade:2
Cited Count:
WoS CC Cited Count: 0
SCOPUS Cited Count:
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 8
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