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- W2949280105 abstract "In this paper, we prove second derivative estimates together with classical solvability for the Dirichlet problem of certain Monge-Ampere type equations under sharp hypotheses. In particular we assume that the matrix function in the augmented Hessian is regular in the sense used by Trudinger and Wang in their study of global regularity in optimal transportation [28] as well as the existence of a smooth subsolution. The latter hypothesis replaces a barrier condition also used in their work. The applications to optimal transportation and prescribed Jacobian equations are also indicated." @default.
- W2949280105 created "2019-06-27" @default.
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- W2949280105 date "2013-03-03" @default.
- W2949280105 modified "2023-10-16" @default.
- W2949280105 title "On the Dirichlet problem for Monge-Ampere type equations" @default.
- W2949280105 doi "https://doi.org/10.48550/arxiv.1303.0595" @default.
- W2949280105 hasPublicationYear "2013" @default.
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