The problem considered is
that of a drop of liquid resting on a plane, where the angle of contact between the
drop surface and the plane is not assumed to be constant. With no assumption on
the contact angle, it is shown that the drop surface, when considered from z0∕2 to z0,
is a graph (here z0 is the maximum height of the drop). When the contact angle is
assumed to lie in the interval [0,], the entire drop surface is shown to be a graph.
These results also hold in zero gravity, thus applying to surfaces of constant mean
curvature.
