The Hadamard variational formula for Riesz capacity and its applications
Volume 284 / 2025
Studia Mathematica 284 (2025), 201-227
MSC: Primary 31B15; Secondary 52A20, 35S15, 35N25
DOI: 10.4064/sm240409-18-6
Published online: 7 October 2025
Abstract
We establish the Hadamard variational formula for Riesz capacity of convex bodies. As an application, we derive a Serrin-type symmetry result for an overdetermined problem.
