Sur les equations de Monge-Ampere. I |
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Authors: | Pierre-Louis Lions |
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Institution: | (1) Ceremade Université Paris IX-Dauphine, Place de Lattre de Tassigny, F-75775 Paris Cedex 16 |
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Abstract: | In this paper we study the real Monge-Arapère equations: det(D2u)= f(x) in 0, u convex in 0, u=0 on 0, and we introduce a new method for solving these equations which enables us to show the existence of regular solutions. This method uses only p.d.e. techniques and does not use any geometrical results. Furthermore, it enables us to solve quasilinear Monge-Ampère equations. |
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