The Hadamard variational formula for Riesz capacity and its applications

Autor:	Zhang, Lu
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.04060 Zobrazit plný text záznamu View this record from Arxiv