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

Björn Ivarsson

Bulletin of the Polish Academy of Sciences. Mathematics (2006)

  • Volume: 54, Issue: 1, page 13-25
  • ISSN: 0239-7269

Abstract

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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.

How to cite

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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 54.1 (2006): 13-25. <http://eudml.org/doc/281048>.

@article{BjörnIvarsson2006,
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.},
author = {Björn Ivarsson},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {complex Monge-Ampère operator; interior regularity; plurisubharmonic function; strongly pseudoconvex domain},
language = {eng},
number = {1},
pages = {13-25},
title = {Regularity and Uniqueness of Solutions to Boundary Blow-up Problems for the Complex Monge-Ampère Operator},
url = {http://eudml.org/doc/281048},
volume = {54},
year = {2006},
}

TY - JOUR
AU - Björn Ivarsson
TI - Regularity and Uniqueness of Solutions to Boundary Blow-up Problems for the Complex Monge-Ampère Operator
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2006
VL - 54
IS - 1
SP - 13
EP - 25
AB - 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.
LA - eng
KW - complex Monge-Ampère operator; interior regularity; plurisubharmonic function; strongly pseudoconvex domain
UR - http://eudml.org/doc/281048
ER -

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