The discrete logarithmic Minkowski problem for the electrostatic \mathfrakp-capacity

2021/11/14 by Kim, Minhyun, Lee, Taehun
#31B15 #52A20 #52B11 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2111.07321

Abstract

The Minkowski problem for electrostatic capacity characterizes measures generated by electrostatic capacity, which is a well-known variant of the Minkowski problem. This problem has been generalized to L_p Minkowski problem for \mathfrakp-capacity. In particular, the logarithmic case p=0 relates to cone-volumes and therefore has a geometric significance. In this paper we solve the discrete logarithmic Minkowski problem for 1

Related

• Lp Minkowski problem for electrostatic \mathfrakp-capacity
• The discrete logarithmic Minkowski problem
• The Logarithmic Minkowski conjecture and the L_p-Minkowski Problem
• Some applications of Projective Logarithmic Potentials
• A class of overdetermined problem for fractional Capacity