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math.AP2007
Sharp Global Bounds for the Hessian on Pseudo-Hermitian Manifolds
Sagun Chanillo, Juan J. Manfredi
We find sharp bounds for the norm inequality on a Pseudo-hermitian manifold, where the L^2 norm of all second derivatives of the function involving horizontal derivatives is contro…
math.AP2007
Weak uniqueness and partial regularity for the composite membrane problem
Sagun Chanillo, Carlos E. Kenig
We establish a generic weak uniqueness result and partial regularity of the free boundary and of minimizers for the composite membrane problem.