On the Dirichlet problem for Monge-Ampère type equations

Jiang, Feida
Trudinger, Neil
Yang, Xiao-Ping

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Publication date

December 2015

DOI

10.1007/s00526-013-0619-3

Publisher

Springer Science and Business Media LLC

Journal

Calculus of Variations and Partial Differential Equations

Abstract

In this paper, we prove second derivative estimates together with classical solvability for the Dirichlet problem of certain Monge-Ampére type equations under sharp hypotheses. In particular we assume that the matrix function in the augmented Hessian i

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On the Dirichlet problem for Monge-Ampère type equations

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On the Dirichlet problem for Monge-Ampère type equations

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