The Brunn-Minkowski Inequality and A Minkowski Problem for Nonlinear Capacity

In this article we study two classical potential-theoretic problems in convex geometry. The first problem is an inequality of Brunn-Minkowski type for a nonlinear capacity, In the first part of this article, we prove the Brunn-Minkowski inequality for this capacity: In the second part of this articl...

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Hlavní autoři:	Akman, Murat, Gong, Jasun, Hineman, Jay, Lewis, John, Vogel, Andrew
Médium:	E-kniha Kniha
Jazyk:	angličtina
Vydáno:	Providence, Rhode Island American Mathematical Society 2022
Vydání:	1
Edice:	Memoirs of the American Mathematical Society
Témata:	Inequalities (Mathematics) Minkowski geometry Nonlinear theories Minkowski problem The Brunn-Minkowski inequality <inline-formula content-type="math/mathml"> A \mathcal {A} </inline-formula>-harmonic PDEs inequalities and extremum problems variational formula Hadamard variational formula nonlinear capacities potentials and capacities
ISBN:	1470450526, 9781470450526
ISSN:	0065-9266, 1947-6221
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