The Dirichlet problem for $m$-subharmonic functions on compact sets
Complex Variables
2018-12-18 v1 Classical Analysis and ODEs
Functional Analysis
Abstract
We characterize those compact sets for which the Dirichlet problem has a solution within the class of continuous -subharmonic functions defined on a compact set, and then within the class of -harmonic functions.
Cite
@article{arxiv.1812.06420,
title = {The Dirichlet problem for $m$-subharmonic functions on compact sets},
author = {Per Ahag and Rafal Czyz and Lisa Hed},
journal= {arXiv preprint arXiv:1812.06420},
year = {2018}
}