Approximation and Bounded Plurisubharmonic Exhaustion Functions Beyond Lipschitz Domains
Benny Avelin, Lisa Hed, Håkan Persson · arXiv (Cornell University) · 2012
Using techniques from the analysis of PDEs to study the boundary behaviour of functions on domains with low boundary regularity, we extend results by Fornaæss-Wiegerinck (1989) on plurisubharmonic approximation and by Demailly (1987) on the existence on bounded plurisubharmonic exhaustion functions to domains beyond Lipschitz boundary regularity.