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Harmonic Discs of Solutions to the Complex Homogeneous Monge-Ampere Equation
(SpringerPublications mathématiques de l'IHÉS, 2015-05-30)
We study regularity properties of solutions to the Dirichlet problem for the complex Homogeneous Monge-Ampere equation. We show that for certain boundary data on P^1 the solution Φ to this Dirichlet problem is connected ...