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Bibliographic Details
Main Author: Zhang, Lu
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2404.04060
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Table of Contents:
  • In this paper, our focus lies on a fundamental geometric invariant known as Riesz capacity, which holds an essential position in potential theory. We establish the Hadamard variational formula for Riesz capacity of convex bodies. As a meaningful application, we derive a Serrin-type symmetry result for an overdetermined problem.