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On the symmetry in a heterogeneous overdetermined problem
Author(s) -
Onodera Michiaki
Publication year - 2015
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdu098
Subject(s) - overdetermined system , mathematics , symmetry (geometry) , ball (mathematics) , domain (mathematical analysis) , symmetrization , mathematical analysis , pure mathematics , geometry
A symmetry problem in potential theory is studied with a new approach applicable to spatially heterogeneous situations. It is proved under some condition on the heterogeneity that a domain in which an overdetermined problem is solvable must be a ball.
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