Suppose two bounded subsets of are given. Parametrise the Minkowski combination of these sets by . The Classical Brunn-Minkowski Theorem asserts that the -th power of the volume of the convex combination is a concave function of . A Brunn-Minkowski-style theorem is established for another geometric domain functional.
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are given. Parametrise the Minkowski combination of these sets by 
. The Classical Brunn-Minkowski Theorem asserts that the 
-th power of the volume of the convex combination is a concave function of 
