The Brunn-Minkowski inequality for p-capacity of convex bodies

• Autores: Andrea Colesanti, Paolo Salani
• Localización: Mathematische Annalen, ISSN 0025-5831, Vol. 326, Nº 3, 2003, pág. 459
• Idioma: inglés
• DOI: 10.1007/s00208-003-0460-7
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• Resumen

  • In this paper we prove the Brunn-Minkowski inequality for the p-capacity of convex bodies (i.e convex compact sets with non-empty interior) in R n, for every p(1,n). Moreover we prove that the equality holds in such inequality if and only if the involved bodies coincide up to a translation and a dilatation.