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

@article{Akman2022TheBI,
title={The Brunn-Minkowski Inequality and A Minkowski Problem for Nonlinear Capacity},
author={Murat Akman and Jasun Gong and Jay Hineman and Johnny M. Lewis and Andrew Vogel},
journal={Memoirs of the American Mathematical Society},
year={2022}
}
• Published 1 September 2017
• Computer Science
• Memoirs of the American Mathematical Society
<p>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, <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C a p Subscript script upper A Baseline comma"> <mml:semantics> <mml:mrow> <mml:msub> <mml:mi>Cap</mml:mi> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mrow class="MJX…
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