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

Free Download The Brunn-Minkowski Inequality and a Minkowski Problem for Nonlinear Capacity
by Murat Akman, Jasun Gong
English | 2022 | ISBN: 1470450526 | 128 Pages | True PDF | 1.24 MB

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, Cap A, where A -capacity is associated with a nonlinear elliptic PDE whose structure is modeled on the p-Laplace equation and whose solutions in an open set are called A -harmonic.

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