| dc.contributor.author | Lions, Pierre-Louis | |
| dc.date.accessioned | 2014-05-20T14:41:26Z | |
| dc.date.available | 2014-05-20T14:41:26Z | |
| dc.date.issued | 1983 | |
| dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/13344 | |
| dc.language.iso | fr | en |
| dc.subject | Monge-Ampère equations | en |
| dc.subject.ddc | 515 | en |
| dc.title | Sur les equations de Monge-Ampere. I | en |
| dc.type | Article accepté pour publication ou publié | |
| dc.description.abstracten | In this paper we study the real Monge-Ampère 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. | en |
| dc.relation.isversionofjnlname | Manuscripta Mathematica | |
| dc.relation.isversionofjnlvol | 41 | en |
| dc.relation.isversionofjnlissue | 1-3 | en |
| dc.relation.isversionofjnldate | 1983 | |
| dc.relation.isversionofjnlpages | 1-43 | en |
| dc.relation.isversionofdoi | http://dx.doi.org/10.1007/BF01165928 | en |
| dc.relation.isversionofjnlpublisher | Springer | en |
| dc.subject.ddclabel | Analyse | en |
| dc.relation.forthcoming | non | en |
| dc.relation.forthcomingprint | non | en |
