A Maximum Problem of S.-T. Yau for Variational p-Capacity

2013/02/20 by Xiao, Jie · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1302.5132

Abstract

Through using the semidiameter (in connection to: the mean radius and surface radius) of a convex closed hypersurface in \mathbb R^{n≥ 2} as an sharp upper bound of the variational (1,n)\ni p-capacity radius, this paper settles a restriction/variant of S.-T. Yau's \cite[Problem 59]Yau from the surface area to the variational p-capacity whose limit as p→ 1 actually induces the surface area.

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