Blaschke's rolling ball theorem and the Trudinger-Wang monotone bending

Research output: Contribution to journalArticlepeer-review

Abstract

We revisit the classical rolling ball theorem of Blaschke for convex surfaces with positive curvature and show that it is linked to another inclusion principle in the optimal mass transportation theory due to Trudinger and Wang. We also discuss an application to reflector antennae design problem.
Original languageEnglish
Pages (from-to)6322-6332
JournalJournal of Differential Equations
Volume260
Issue number7
Early online date5 Jan 2016
DOIs
Publication statusPublished - 5 Apr 2016

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