On the symmetry in a heterogeneous overdetermined problem

DOI10.1112/blms/bdu098zbMath1310.35182OpenAlexW1994527176MaRDI QIDQ5173352

Michiaki Onodera

Publication date: 9 February 2015

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdu098

zbMATH Keywords

spatially heterogeneous situations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20) Symmetries, invariants, etc. in context of PDEs (35B06) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

Related Items (3)

Dynamical approach to an overdetermined problem in potential theory ⋮ Linear stability analysis of overdetermined problems with non-constant data ⋮ Overdetermined elliptic problems in topological disks

Cites Work

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• Potato Kugel
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• Shorter Notes: On the Mean-Value Property of Harmonic Functions
• A Characterization of the Sphere in Terms of Single-Layer Potentials
• On the Mean-Value Property of Harmonic Functions
• On the Mean-Value Property of Harmonic Functions

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