On the Dirichlet problem for degenerate Monge-Ampere equations

Research Report MRR97-034

On the Dirichlet problem for degenerate Monge-Ampère equations

Pengfei Guan, Neil S. Trudinger, Xu-Jia Wang

Abstract: We prove global second derivative estimates for the Dirichlet problem for degenerate Monge-Ampère equations which yield corresponding existence and regularity results. Our conditions are essentially optimal and our techniques, while drawing on previous investigations, are substantially new.

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