@article {2021, title = {The sharp quantitative isocapacitary inequality}, journal = {Revista Matematica Iberoamericana}, volume = {37}, year = {2021}, month = {2021}, pages = {2191 - 2228}, abstract = {

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. Analyse Math.{\textquoteright}91). {\textcopyright} 2021 Real Sociedad Matem{\'a}tica Espa{\~n}ola

}, keywords = {Fraenkel asymmetry, isocapacitary inequality, Stability estimates}, isbn = {02132230 (ISSN)}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85104691573\&doi=10.4171\%2frmi\%2f1259\&partnerID=40\&md5=5f88bc37b87a9eea7a502ea63523ff57}, author = {Guido De Philippis and Michele Marini and Ekaterina Mukoseeva} } @article {2021, title = {The sharp quantitative isocapacitary inequality (the case of p-capacity)}, journal = {Advances in Calculus of Variations}, year = {2021}, month = {2021}, abstract = {

We prove a sharp quantitative form of isocapacitary inequality in the case of a general p. This work is a generalization of the author{\textquoteright}s paper with Guido De Philippis and Michele Marini, where we treated the case of 2-capacity. {\textcopyright} 2021 Walter de Gruyter GmbH, Berlin/Boston 2021.

}, keywords = {isocapacitary inequality, Stability estimates}, isbn = {18648258 (ISSN)}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85106363307\&doi=10.1515\%2facv-2020-0106\&partnerID=40\&md5=26dbcad781b68c1d873512e272f0e7f4}, author = {Ekaterina Mukoseeva} } @booklet {2020, title = {Minimality of the ball for a model of charged liquid droplets}, year = {2020}, author = {Ekaterina Mukoseeva and Giulia Vescovo} }