The geometry of $m$-hyperconvex domains
Complex Variables
2018-08-30 v2 Classical Analysis and ODEs
Abstract
We study the geometry of -regular domains within the Caffarelli-Nirenberg-Spruck model in terms of barrier functions, envelopes, exhaustion functions, and Jensen measures. We prove among other things that every -hyperconvex domain admits an exhaustion function that is negative, smooth, strictly -subharmonic, and has bounded -Hessian measure.
Keywords
Cite
@article{arxiv.1703.02796,
title = {The geometry of $m$-hyperconvex domains},
author = {Per Ahag and Rafal Czyz and Lisa Hed},
journal= {arXiv preprint arXiv:1703.02796},
year = {2018}
}