Local existence and regularity of the Dirichlet problem for the Monge-Ampere equation

Claude Zuily

Journées équations aux dérivées partielles (1989)

  • page 1-5
  • ISSN: 0752-0360

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Zuily, Claude. "Existence locale et régularité du problème de Dirichlet pour l'équation de Monge-Ampère." Journées équations aux dérivées partielles (1989): 1-5. <http://eudml.org/doc/93196>.

@article{Zuily1989,
author = {Zuily, Claude},
journal = {Journées équations aux dérivées partielles},
keywords = {local existence; Dirichlet problem; Monge-Ampère equations},
language = {fre},
pages = {1-5},
publisher = {Ecole polytechnique},
title = {Existence locale et régularité du problème de Dirichlet pour l'équation de Monge-Ampère},
url = {http://eudml.org/doc/93196},
year = {1989},
}

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
PB - Ecole polytechnique
SP - 1
EP - 5
LA - fre
KW - local existence; Dirichlet problem; Monge-Ampère equations
UR - http://eudml.org/doc/93196
ER -

References

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  1. [BA] A.E. BARAKA, Estimations Lp et Holderiennes pour certaines classes d'opérateurs elliptiques singuliers, Thesis University of Rennes, (1987). 
  2. [C.N.S] L. CAFFARALLI-L. NIRENBERG-SPRUCK, The Dirichlet problem for non-linear second order elliptic equations I : Monge-Ampère equations, Comm. Pure and Applied Math. XXXVII, (1984), 369-402. Zbl0598.35047
  3. [G.Y] J.B. GOODMANN-D. YANG, Local solvabiliry of non linear partial differential equations of real principal type, Preprint. 
  4. [H.Z1] J. HONG-C. ZUILY, Existence of C∞ local solutions for the Monge-Ampère equation, Invent. Math. 89, (1987), 645-661. Zbl0648.35016MR88j:35056
  5. [H.Z2] J. HONG-C. ZUILY, Lp and Hölder estimates for a class of degenerate elliptic boundary value problems. Application to the Monge-Ampère equation, Preprint. Zbl0742.35009
  6. [L1] C.S. LIN, The local isometric embedding in R3 of 2-dimensional Riemanian Manifolds with non negative curvature, J. Diff. Geom. 21, (1985), 213-230. Zbl0584.53002
  7. [L2] C.S. LIN, The local isometric embedding ... with Gaussian curvature changing sign cleanly, Comm. Pure and Appl. Math., Vol. XXXIX, (1986), 867-887. Zbl0612.53013
  8. [TU] N. TRUDINGER, J. URBAS, The Dirichlet problem for the equation of prescribed Gauss curvature, Bull. Austr. Math. Soc., Vol 28, (1983), 217-231. Zbl0524.35047MR85i:35062
  9. [Z] C. ZUILY, Sur la régularité des solutions non strictement convexes de l'équation de Monge-Ampère réelle, Annali Scuola Norm. di Pisa (à paraître). Zbl0702.35050

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