We define the n-dimensional logarithmic capacity for convex bodies in the n dimensional Euclidean space, with n greater than or equal to 2; then, for this quantity, we prove a Brunn–Minkowski type inequality, and we characterize the corresponding equality case.
The Brunn-Minkowski inequality for the n-dimensional logarithmic capacity / A. COLESANTI; P. CUOGHI. - In: POTENTIAL ANALYSIS. - ISSN 0926-2601. - STAMPA. - 22:(2005), pp. 289-304.
The Brunn-Minkowski inequality for the n-dimensional logarithmic capacity
COLESANTI, ANDREA;
2005
Abstract
We define the n-dimensional logarithmic capacity for convex bodies in the n dimensional Euclidean space, with n greater than or equal to 2; then, for this quantity, we prove a Brunn–Minkowski type inequality, and we characterize the corresponding equality case.
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