A Priori Estimates and a Liouvielle Theorem for Complex Monge-Ampère Equations.
Dieter Riebesehl, Friedmar Schulz (1984)
Mathematische Zeitschrift
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Displaying similar documents to “The behaviour of solutions to elliptic Monge-Ampère equations at singular points.”
A Priori Estimates and a Liouvielle Theorem for Complex Monge-Ampère Equations.
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We study two known theorems regarding Hermitian matrices: Bellman's principle and Hadamard's theorem. Then we apply them to problems for the complex Monge-Ampère operator. We use Bellman's principle and the theory for plurisubharmonic functions of finite energy to prove a version of subadditivity for the complex Monge-Ampère operator. Then we show how Hadamard's theorem can be extended to polyradial plurisubharmonic functions.