Regularity and Uniqueness of Solutions to Boundary Blow-up Problems for the Complex Monge–Ampère Operator
Volume 54 / 2006
Bulletin Polish Acad. Sci. Math. 54 (2006), 13-25
MSC: 32W20, (32U10, 35B65, 35J60).
DOI: 10.4064/ba54-1-2
Abstract
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.