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Research Report MRR98-023

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

John Urbas

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.

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