Electrostatic skeletons
Analysis of PDEs
2013-11-19 v3
Abstract
Let u be the equilibrium potential of a compact set K. An electrostatic skeleton of K is a positive measure whose closed support has connected complement and no interior, and whose potential is equal to u near infinity. We prove the existence of an electrostatic skeleton for any simplex.
Cite
@article{arxiv.1309.5483,
title = {Electrostatic skeletons},
author = {Alexandre Eremenko and Erik Lundberg and Koushik Ramachandran},
journal= {arXiv preprint arXiv:1309.5483},
year = {2013}
}
Comments
7 pages, 2 figures