Uniqueness for an overdetermined

boundary value problem for the p-Laplacian

Authors:
Farid Bahrami and Henrik Shahgholian

Journal:
Proc. Amer. Math. Soc. **126** (1998), 745-750

MSC (1991):
Primary 31B20, 35J05, 35R35

DOI:
https://doi.org/10.1090/S0002-9939-98-04087-8

MathSciNet review:
1422844

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Abstract | References | Similar Articles | Additional Information

Abstract: For set , and let be a measure with compact support. Suppose, for , there are functions and (bounded) domains , both containing the support of with the property that in (weakly) and in the complement of . If in addition is convex, then and .

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Additional Information

**Farid Bahrami**

Affiliation:
Department of Mathematics, University of Tehran, P.O. Box 13145-1873, Tehran, Iran

**Henrik Shahgholian**

Affiliation:
Department of Mathematics, The Royal Institute of Technology, 100 44 Stockholm, Sweden

Email:
henriks@math.kth.se

DOI:
https://doi.org/10.1090/S0002-9939-98-04087-8

Keywords:
Inverse domain problem,
p-Laplacian,
uniqueness

Received by editor(s):
April 3, 1996

Received by editor(s) in revised form:
August 28, 1996

Communicated by:
J. Marshall Ash

Article copyright:
© Copyright 1998
American Mathematical Society