The sharp quantitative isocapacitary inequality

• Guido De Philippis ^[1] ; Michele Marini ^[2] ; Ekaterina Mukoseeva ^[2]
  1. [1] New York University

     New York University

     Estados Unidos

     
  2. [2] SISSA, Trieste
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 37, Nº 6, 2021, págs. 2191-2228
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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. ’91).