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Solution of the Dirichlet problem for the prescribed Jacobian equation using the Monge-Ampere equation

We give an alternative proof, based on the Monge-Ampere equation, of Dacorogna and Moser's result (Dacorogna and Moser. 1990) [4] on the solvability with optimal regularity of the Dirichlet problem for the prescribed Jacobian equation. (C) 2012 Academie des sciences. Publie par Elsevier Masson SAS. Tons droits reserves.

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