Subellipticity on pseudo-convex domains with isolated degeneracies.
Previous work has lead the author to conjecture necessary and sufficient conditions for the subellipticity of the [unk]-Neumann problem on pseudoconvex domains. Here we outline a general method which reduces the problem of subellipticity to inequalities between germs of C(infinity) functions. We then describe how this method can be applied to prove the sufficiency of the conditions on domains whose boundaries have an isolated set of points on which the Levi form degenerates and such that in a neighborhood of these points the boundary is real analytic.
Kohn
J J
JJ
Princeton University, Princeton, New Jersey 08540.