A note on an overdetermined problem for the capacitary potential
Giulio Ciraolo, Chiara Bianchini
TL;DR
This paper investigates a special overdetermined problem in potential theory related to capacitary potential and establishes a radial symmetry result, contributing to the understanding of symmetry properties in such problems.
Contribution
It provides a new symmetry result for an overdetermined problem in potential theory involving capacitary potentials.
Findings
Proved radial symmetry for the overdetermined capacitary potential problem.
Extended understanding of symmetry in potential theory problems.
Abstract
We consider an overdetermined problem arising in potential theory for the capacitary potential and we prove a radial symmetry result.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Spectral Theory in Mathematical Physics · Numerical methods in inverse problems