Sur les equations de Monge-Ampere. I

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

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