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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A note on the
contact angle boundary condition
for Monge-Ampère equations


Author: John Urbas
Journal: Proc. Amer. Math. Soc. 128 (2000), 853-855
MSC (1991): Primary 35J25, 35J60, 35J65
Published electronically: July 28, 1999
MathSciNet review: 1646210
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Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • [1] Xinan Ma, A necessary condition of solvability for the capillarity boundary of Monge-Ampère equations in two dimensions, Proc. Amer. Math. Soc. (to appear). CMP 98:05

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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

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05222-3
PII: S 0002-9939(99)05222-3
Keywords: Monge-Ampère equations, contact angle boundary condition
Received by editor(s): May 12, 1998
Published electronically: July 28, 1999
Communicated by: Peter Li
Article copyright: © Copyright 1999 American Mathematical Society