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Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

On boundary blow-up problems for the complex Monge-Ampère equation

Author(s): Szymon Plis
Journal: Proc. Amer. Math. Soc. 136 (2008), 4355-4364.
MSC (2000): Primary 32W20, 35B65
Posted: July 8, 2008
MathSciNet review: 2431050
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Abstract | References | Similar articles | Additional information

Abstract: We prove the $ \mathcal{C}^\infty$ regularity for some complex Monge-Ampère equations with boundary data equal to $ +\infty$.

References:

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Z. Błocki, Regularity of the degenerate Monge-Ampère equation on compact Kähler manifolds, Math. Z. 244 (2003), no. 1, 153-161. MR 1981880 (2004b:32065)

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B. Ivarsson, Regularity and uniqueness of solutions to boundary blow-up problems for the complex Monge-Ampère operator, Bull. Polish Acad. Sci. Math. 54 (2006), 13-25. MR 2270791 (2007g:32028)

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Additional Information:

Szymon Plis
Affiliation: Institute of Mathematics, Cracow University of Technology, Warszawska 24, 31-155 Kraków, Poland
Email: splis@pk.edu.pl

DOI: 10.1090/S0002-9939-08-09513-0
PII: S 0002-9939(08)09513-0
Keywords: Complex Monge-Amp\`ere equation, blow up problem.
Received by editor(s): November 6, 2007
Posted: July 8, 2008
Additional Notes: This research was partially supported by Polish grant MNiSW 3342/H03/2006/31
Communicated by: Mei-Chi Shaw
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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