arXiv:math/0504567 Abstract

Published 2005-04-28, updated 2005-09-20Version 2

We show that domains, that allow for convex functions with unbounded gradient at their boundary, are convex.

Comments: 5 pages, 1 figure, incorrect example removed

Categories: math.CA, math.AP, math.DG

Keywords: convex functions, unbounded gradient

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