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.