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math.AP2020★ 1 cited
The sharp quantitative isocapacitary inequality (the case of -capacity)
Ekaterina Mukoseeva
We prove a sharp quantitative form of isocapacitary inequality in the case of a general . This work is a generalization of the author's paper with Guido De Philippis and Michele…
math.AP2019★ 1 cited
Minimality of the ball for a model of charged liquid droplets
Ekaterina Mukoseeva, Giulia Vescovo
We deduce that charged liquid droplets minimizing Debye-Hückel-type free energy are spherical in the small charge regime. The variational model was proposed by Muratov and Novaga i…
math.AP2019
The sharp quantitative isocapacitary inequality
Guido De Philippis, Michele Marini, Ekaterina Mukoseeva
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 vol…