The Geometry of m-hyperconvex domains

Bibliographic description

punktacja MNiSW [2018 A]: 35

title:	The Geometry of m-hyperconvex domains
author:	Åhag Per, Czyż Rafał , Hed Lisa
journal title:	The Journal of Geometric Analysis
volume:	28
issue:	4
date of publication :	2018
pages:	3196-3222
ISSN:	1050-6926
eISSN:	1559-002X
DOI:	10.1007/s12220-017-9957-2
language:	English
journal language:	English
abstract in English:	We study the geometry of m-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 m-hyperconvex domain admits an exhaustion function that is negative, smooth, strictly m-subharmonic, and has bounded m-Hessian measure.
keywords in English:	barrier function, Caffarelli-Nirenberg-Spruck model, exhaustion function m-subharmonic function, Jensen measure
affiliation:	Wydział Matematyki i Informatyki : Instytut Matematyki
type:	journal article
subtype:	academic paper