On the Dirichlet problem for Monge-Ampère type equations
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Jiang, Feida
Trudinger, Neil
Yang, Xiao-Ping
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Springer
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 is
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Calculus of Variations and Partial Differential Equations