Isoperimetric Inequalities in Unbounded Convex Bodies Donal Carbaugh Resource Guide

Resource Guide

In this thorough reconsideration of Saids famous work

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Isoperimetric Inequalities in Unbounded Convex Bodies Donal Carbaugh Resource GuideWe consider the problem of minimizing the relative perimeter under a volume constraint in an unbounded convex body C ? Rn, without assuming any further regularity on the boundary of C. Motivated by an example of an unbounded convex body with null isoperimetric profile, we introduce the concept of unbounded convex body with uniform geometry. We then provide a handy characterization of the uniform geometry property and, by exploiting the notion of