Monge-ampère equations relative to a riemannian metric

Transactions of the American Mathematical Society

Volumn 349, Issue 10, 1997, Pages 3989-4006

  Atallah, A ^a   Zuily, C ^a  

^a UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21944432601     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-97-01833-3     Document Type: Article

References (9)

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3. [C] C. Corona : Mange-Ampere equations on convex regions of the plane, Comm. in P.D.E., 16 (1), (1991), 43-57. MR 92g:35068
4. [E] L. Evans : Classical solutions of fully nonlinear convex second order elliptic equations, Comm. Pure Appl. Math. 25, (1982), 333-363. MR 83g:35038
5. [GS] B. Guan and J. Spruck : Boundary value problems on Sn for surfaces of constant Gauss curvature, Annals of Math. 138, (1993), 601-624. MR 94i:53039
6. [GT] D. Gilbarg and N. Trudinger : Elliptic partial differential equations of second order, 2nd ed., Springer Verlag 1983. MR 86c:35035
7. [H] J. Hong : Dirichlet problems for general Monge-Ampère equations, Math. Zeitschrift 209, (1992), 289-306. MR 92m:35090
8. [KA] J. Kazdan : Prescribing the curvature of a Riemannian manifold, CBMS series # 57, A.M.S. (1985). MR 86h:53001
9. [KR] N. Krylov : Boundedly inhomogeneous elliptic and parabolic equations in a domain, Math. USSR Izvestia, Vol. 22 n° 1, (1984), 67-97. MR 85g:35046