Calculus of Variations and Geometric Measure Theory

E. Mukoseeva

The sharp quantitative isocapacitary inequality (the case of $p$-capacity)

created by mukoseeva on 08 Oct 2020
modified on 25 Nov 2020


Submitted Paper

Inserted: 8 oct 2020
Last Updated: 25 nov 2020

Year: 2020


We prove a sharp quantitative form of isocapacitary inequality in the case of a general $p$. This work is a generalization of the author's paper with Guido De Philippis and Michele Marini, where we treated the case of $2$-capacity.