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The Brunn-Minkowski Inequality and A Minkowski Problem for Nonlinear Capacity
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The Brunn-Minkowski Inequality and A Minkowski Problem for Nonlinear Capacity
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eBook
The Brunn-Minkowski Inequality and A Minkowski Problem for Nonlinear Capacity
2022
Overview
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 article we study a Minkowski problem for a certain measure associated with a compact
convex set
Publisher
American Mathematical Society
ISBN
1470450526, 9781470450526
