We prove that plurisubharmonic solutions to certain boundary blow-up problems for the complex Monge-Ampère operator are Lipschitz continuous. We also prove that in certain cases these solutions are unique.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-1-2,
author = {Bj\"orn Ivarsson},
title = {Regularity and Uniqueness of Solutions to Boundary Blow-up Problems for the Complex Monge-Amp\`ere Operator},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {54},
year = {2006},
pages = {13-25},
zbl = {1112.32020},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-1-2}
}
Björn Ivarsson. Regularity and Uniqueness of Solutions to Boundary Blow-up Problems for the Complex Monge-Ampère Operator. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) pp. 13-25. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-1-2/