The sharp quantitative isocapacitary inequality
نویسندگان
چکیده
We prove a sharp quantitative form of the classical isocapacitary inequality. Namely, we show that difference between capacity set and ball with same volume bounds square Fraenkel asymmetry set. This provides positive answer to conjecture Hall, Hayman, Weitsman (J. Analyse Math. ’91).
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ژورنال
عنوان ژورنال: Revista Matematica Iberoamericana
سال: 2021
ISSN: ['2235-0616', '0213-2230']
DOI: https://doi.org/10.4171/rmi/1259