Infinity harmonic functions over exterior domains
Analysis of PDEs
2019-03-05 v1
Abstract
In this paper, we study the infinity harmonic functions with linear growth rate at infinity defined on exterior domains. We show that such functions must be asymptotic to planes or cones at infinity. We also establish the solvability of Dirichlet problems for exterior domains.
Cite
@article{arxiv.1903.00775,
title = {Infinity harmonic functions over exterior domains},
author = {Guanghao Hong and Yizhen Zhao},
journal= {arXiv preprint arXiv:1903.00775},
year = {2019}
}
Comments
7 pages