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arXiv · 2406.15748

A class of overdetermined problem for fractional Capacity

Lei Qin·Lu Zhang
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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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Lei Qin, Lu Zhang. 2024-06-22. A class of overdetermined problem for fractional Capacity. https://arxiv.org/abs/2406.15748

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