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

Author(s): John Urbas
Journal: Proc. Amer. Math. Soc. 128 (2000), 853-855.
MSC (1991): Primary 35J25, 35J60, 35J65
Posted: July 28, 1999
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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:

[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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