Convexity of level sets and a two-point function
Analysis of PDEs
2018-04-25 v2
Abstract
We establish a maximum principle for a two-point function in order to analyze the convexity of level sets of harmonic functions. We show that this can be used to prove a strict convexity result involving the smallest principal curvature of the level sets.
Cite
@article{arxiv.1701.05820,
title = {Convexity of level sets and a two-point function},
author = {Ben Weinkove},
journal= {arXiv preprint arXiv:1701.05820},
year = {2018}
}
Comments
10 pages, v2 minor corrections, to appear in Pacific J. Math