1 citations · 2 across the 4 of their papers we have counts for
5 papers
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…
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…
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…
Another proof of on with for random-cluster model
E. Mukoseeva, D. Smirnova
In this paper we give another proof of on with , based on the method of parafermionic observables.
On symmetry of extremals in several embedding theorems
E. V. Mukoseeva, A. I. Nazarov
We study the symmetry/asymmetry of functions providing sharp constants in the embedding theorems ${\stackrel{\circ}{W}}\vphantom{W}_2^r(-1,1)\hookrightarrow{\stackrel{\circ}{W}}\vp…