Asian Journal of Mathematics
Volume 22 (2018)
Exploiting log-capacity in convex geometry
Pages: 955 – 980
This article is devoted to an exploitation of the log-capacity for convex bodies — especially its connections to volume-radius, mean-width, Hadamard-type variational formula, Minkowski-type problem, and Yau-type problem.
log-capacity, volume-radius, mean-width, Hadamard-type variation, Minkowski-type problem, Yau-type problem
2010 Mathematics Subject Classification
This project was in part supported by MUN’s University Research Professorship (208227463102000).
Received 29 December 2015
Accepted 15 December 2016
Published 9 November 2018