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math.AP2012
Conformal Geometry and The Composite Membrane Problem
Sagun Chanillo
We consider smooth bounded surfaces with a smooth boundary and a prescribed background metric g_0. We now consider all metrics g conformal to g_0 which have a prescribed volume M.…
math.CV2012
Embedded Three Dimensional CR Manifolds and the Non-Negativity of Paneitz Operators
Sagun Chanillo, Hung-Lin Chiu, Paul Yang
Let be a bounded strictly pseudoconvex domain in with a smooth, connected and compact boundary M and having a CR structure induced from . Assume this CR struct…