Équation de Monge-Ampère relative à une métrique riemannienne

A. Atallah; C. Zuily

Séminaire Équations aux dérivées partielles (Polytechnique) (1994-1995)

  • page 1-13

How to cite

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Atallah, A., and Zuily, C.. "Équation de Monge-Ampère relative à une métrique riemannienne." Séminaire Équations aux dérivées partielles (Polytechnique) (1994-1995): 1-13. <http://eudml.org/doc/112114>.

@article{Atallah1994-1995,
author = {Atallah, A., Zuily, C.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
language = {fre},
pages = {1-13},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Équation de Monge-Ampère relative à une métrique riemannienne},
url = {http://eudml.org/doc/112114},
year = {1994-1995},
}

TY - JOUR
AU - Atallah, A.
AU - Zuily, C.
TI - Équation de Monge-Ampère relative à une métrique riemannienne
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1994-1995
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 13
LA - fre
UR - http://eudml.org/doc/112114
ER -

References

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  1. [A] Atallah: Problème de Dirichlet pour des équations de Monge-Ampère réelles relatives à des métriques Riemanniennes, à paraître. Zbl0860.35033
  2. [CNS] Caffarelli, Nirenberg, Spruck: The Dirichlet problem for non linear second order elliptic equations I, Comm. Pure Appl. Math.37, (1984), 369-402. Zbl0598.35047MR739925
  3. [C] Corona: Monge-Ampère equations on convex regions of the plane, Comm. in PDE, 16, (1), (1991), 43-57. Zbl0736.35041MR1096833
  4. [E] Evans: Classical solutions of fully non linear convex second order elliptic equations, Comm. Pure Appl. Math.25, (1982), 333-363. Zbl0469.35022
  5. [G-S] Guan-Spruck: Boundary value problems on Sn for surfaces of constant Gauss curvature, Annals of Math.138, (1993), 601-624. Zbl0840.53046MR1247995
  6. [GT] Gilbarg-Trudinger: Elliptic partial différential equations of second order, Springer-Verlag1983. Zbl0562.35001MR737190
  7. [K] Krylov: Boundedly non homogeneous elliptic and parabolic equations, Math. USSR Izvestia, Vol. 22 n°1, (1984), 67-97. Zbl0578.35024
  8. [H] Hong: Dirichlet problems for general Monge-Ampère equations, Math Zeits209, (1992) 289-306. Zbl0771.35020MR1147819

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