Regularity and Uniqueness of Solutions to Boundary Blow-up Problems for the Complex Monge-Ampère Operator

• Autorzy: Björn Ivarsson
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 32W20: Complex Monge-Amp\`ere operators
• 32U10: Plurisubharmonic exhaustion functions
• 35J60: Nonlinear elliptic equations
• 35B65: Smoothness and regularity of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2006
• Tom: 54
• Numer: 1
• Strony: 13-25

Daty

wydano

2006

Twórcy

autor

Björn Ivarsson

• Mathematisches Institute, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland

Identyfikatory

DOI

10.4064/ba54-1-2