The Geometry of m-Hyperconvex Domains |
| |
| Authors: | Per Åhag Rafał Czyż Lisa Hed |
| |
| Affiliation: | 1.Department of Mathematics and Mathematical Statistics,Ume? University,Ume?,Sweden;2.Faculty of Mathematics and Computer Science,Jagiellonian University,Kraków,Poland |
| |
| Abstract: | 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: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
