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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On boundary blow-up problems for the complex Monge-Ampère equation
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by Szymon Pliś PDF
Proc. Amer. Math. Soc. 136 (2008), 4355-4364 Request permission

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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Additional Information
  • Szymon Pliś
  • Affiliation: Institute of Mathematics, Cracow University of Technology, Warszawska 24, 31-155 Kraków, Poland
  • Email: splis@pk.edu.pl
  • Received by editor(s): November 6, 2007
  • Published electronically: July 8, 2008
  • Additional Notes: This research was partially supported by Polish grant MNiSW 3342/H03/2006/31
  • Communicated by: Mei-Chi Shaw
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 4355-4364
  • MSC (2000): Primary 32W20, 35B65
  • DOI: https://doi.org/10.1090/S0002-9939-08-09513-0
  • MathSciNet review: 2431050