English

A stability result for Riesz potentials in higher dimensions

Functional Analysis 2020-07-24 v1

Abstract

We prove a stability estimate, with the optimal quadratic error term, for the Coulomb energy of a set in Rn\mathbb{R}^n with n3n \geq 3. This estimate extends to a range of Riesz potentials.

Cite

@article{arxiv.2007.11664,
  title  = {A stability result for Riesz potentials in higher dimensions},
  author = {Almut Burchard and Gregory R. Chambers},
  journal= {arXiv preprint arXiv:2007.11664},
  year   = {2020}
}

Comments

18 pages

R2 v1 2026-06-23T17:19:44.104Z