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dc.contributor.authorLions, Pierre-Louis
dc.date.accessioned2014-05-20T14:41:26Z
dc.date.available2014-05-20T14:41:26Z
dc.date.issued1983
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/13344
dc.language.isofren
dc.subjectMonge-Ampère equationsen
dc.subject.ddc515en
dc.titleSur les equations de Monge-Ampere. Ien
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenIn 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.isversionofjnlnameManuscripta Mathematica
dc.relation.isversionofjnlvol41en
dc.relation.isversionofjnlissue1-3en
dc.relation.isversionofjnldate1983
dc.relation.isversionofjnlpages1-43en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/BF01165928en
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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