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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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A note on the contact angle boundary condition for Monge-Ampère equations
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by John Urbas PDF
Proc. Amer. Math. Soc. 128 (2000), 853-855 Request permission

Abstract:

We give a simple proof of a result of Xinan Ma concerning a necessary condition for the solvability of the two-dimensional Monge-Ampère equation subject to the contact angle or capillarity boundary condition. Our technique works for more general Monge-Ampère equations in any dimension, and also extends to some other boundary conditions.
References
  • Xinan Ma, A necessary condition of solvability for the capillarity boundary of Monge-Ampère equations in two dimensions, Proc. Amer. Math. Soc. (to appear).
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Additional Information
  • John Urbas
  • Affiliation: Centre for Mathematics and its Applications, School of Mathematical Sciences, Australian National University, Canberra ACT 0200, Australia
  • Email: John.Urbas@maths.anu.edu.au
  • Received by editor(s): May 12, 1998
  • Published electronically: July 28, 1999
  • Communicated by: Peter Li
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 853-855
  • MSC (1991): Primary 35J25, 35J60, 35J65
  • DOI: https://doi.org/10.1090/S0002-9939-99-05222-3
  • MathSciNet review: 1646210