The sharp quantitative isocapacitary inequality

Autor:	De Philippis, Guido, Marini, Michele, Mukoseeva, Ekaterina
Rok vydání:	2019
Předmět:	Mathematics - Analysis of PDEs 49R05 (47A75 49Q20)
Druh dokumentu:	Working Paper
Popis:	We prove a sharp quantitative form of the classical isocapacitary inequality. Namely, we show that the difference between the capacity of a set and that of a ball with the same volume bounds the square of the Fraenkel asymmetry of the set. This provides a positive answer to a conjecture of Hall, Hayman, and Weitsman (J. d' Analyse Math. '91).
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1901.11309 Zobrazit plný text záznamu View this record from Arxiv