A class of overdetermined problem for fractional Capacity

Published 22 Jun 2024 in math.AP | (2406.15748v1)

Abstract: In this paper, we consider an unconventional overdetermined problem through a property of concavity, which provides some characterizations of balls via Brunn-Minkowski inequalities. In this setting, our rsults can be viewed as the generalization of $p$-capacity in [14], which have its own interest.

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