@article{JEDP_1989____A21_0, author = {Zuily, Claude}, title = {Existence locale et r\'egularit\'e du probl\`eme de {Dirichlet} pour l'\'equation de {Monge-Amp\`ere}}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {21}, pages = {1--5}, publisher = {Ecole polytechnique}, year = {1989}, mrnumber = {91e:35096}, zbl = {0696.35054}, language = {fr}, url = {http://archive.numdam.org/item/JEDP_1989____A21_0/} }
TY - JOUR AU - Zuily, Claude TI - Existence locale et régularité du problème de Dirichlet pour l'équation de Monge-Ampère JO - Journées équations aux dérivées partielles PY - 1989 SP - 1 EP - 5 PB - Ecole polytechnique UR - http://archive.numdam.org/item/JEDP_1989____A21_0/ LA - fr ID - JEDP_1989____A21_0 ER -
Zuily, Claude. Existence locale et régularité du problème de Dirichlet pour l'équation de Monge-Ampère. Journées équations aux dérivées partielles (1989), article no. 21, 5 p. http://archive.numdam.org/item/JEDP_1989____A21_0/
[BA] Estimations Lp et Holderiennes pour certaines classes d'opérateurs elliptiques singuliers, Thesis University of Rennes, (1987).
,[C.N.S] The Dirichlet problem for non-linear second order elliptic equations I : Monge-Ampère equations, Comm. Pure and Applied Math. XXXVII, (1984), 369-402. | Zbl
- ,[G.Y] Local solvabiliry of non linear partial differential equations of real principal type, Preprint.
- ,[H.Z1] Existence of C∞ local solutions for the Monge-Ampère equation, Invent. Math. 89, (1987), 645-661. | MR | Zbl
- ,[H.Z2] Lp and Hölder estimates for a class of degenerate elliptic boundary value problems. Application to the Monge-Ampère equation, Preprint. | Zbl
- ,[L1] The local isometric embedding in R3 of 2-dimensional Riemanian Manifolds with non negative curvature, J. Diff. Geom. 21, (1985), 213-230. | Zbl
,[L2] The local isometric embedding ... with Gaussian curvature changing sign cleanly, Comm. Pure and Appl. Math., Vol. XXXIX, (1986), 867-887. | Zbl
,[TU] The Dirichlet problem for the equation of prescribed Gauss curvature, Bull. Austr. Math. Soc., Vol 28, (1983), 217-231. | MR | Zbl
, ,[Z] Sur la régularité des solutions non strictement convexes de l'équation de Monge-Ampère réelle, Annali Scuola Norm. di Pisa (à paraître). | Numdam | Zbl
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