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

Aram Karakhanyan

doi:10.1016/j.jde.2015.12.039

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

Aram Karakhanyan

School of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	6322-6332
Journal	Journal of Differential Equations
Volume	260
Issue number	7
Early online date	5 Jan 2016
DOIs	https://doi.org/10.1016/j.jde.2015.12.039
Publication status	Published - 5 Apr 2016

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10.1016/j.jde.2015.12.039

1512.08161v1Accepted author manuscript, 446 KB

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title = "Blaschke's rolling ball theorem and the Trudinger-Wang monotone bending",

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. ",

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