We study the conformation of a heterogeneous surfactant monolayer at a flui
d-fluid interface, near a boundary between two lateral regions of differing
: elastic properties. Thf monolayer attains a conformation of shallow, stee
p "mesas" with a height difference of up to 10 nm. If the monolayer is prog
ressively compressed (e.g., in a Langmuir trough), the profile develops ove
rhangs and finally becomes unstable at a surface tension of about K(deltac(
0))(2), where deltac(0) is the difference in spontaneous curvature and K a
bending stiffness. We discuss the relevance of this instability to recently
observed folding behavior in lung surfactant monolayers, and to the absenc
e of domain structures in films separating oil and water in emulsions.