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.
THE BRUNN-MINKOWSKI INEQUALITYY FOR P-CAPACITY OF CONVEX BODIES / A. COLESANTI; P. SALANI. - In: MATHEMATISCHE ANNALEN. - ISSN 0025-5831. - STAMPA. - 327:(2003), pp. 459-479.
THE BRUNN-MINKOWSKI INEQUALITYY FOR P-CAPACITY OF CONVEX BODIES
COLESANTI, ANDREA;SALANI, PAOLO
2003
Abstract
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.
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