@article{AIHPC_2009__26_3_903_0, author = {Bayard, Pierre and Delano\"e, Philippe}, title = {Entire {Spacelike} {Radial} {Graphs} in the {Minkowski} {Space,} {Asymptotic} to the {Light-Cone,} {With} {Prescribed} {Scalar} {Curvature}}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {903--915}, publisher = {Elsevier}, volume = {26}, number = {3}, year = {2009}, doi = {10.1016/j.anihpc.2008.03.008}, mrnumber = {2526408}, zbl = {1169.53040}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpc.2008.03.008/} }
TY - JOUR AU - Bayard, Pierre AU - Delanoë, Philippe TI - Entire Spacelike Radial Graphs in the Minkowski Space, Asymptotic to the Light-Cone, With Prescribed Scalar Curvature JO - Annales de l'I.H.P. Analyse non linéaire PY - 2009 SP - 903 EP - 915 VL - 26 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpc.2008.03.008/ DO - 10.1016/j.anihpc.2008.03.008 LA - en ID - AIHPC_2009__26_3_903_0 ER -
%0 Journal Article %A Bayard, Pierre %A Delanoë, Philippe %T Entire Spacelike Radial Graphs in the Minkowski Space, Asymptotic to the Light-Cone, With Prescribed Scalar Curvature %J Annales de l'I.H.P. Analyse non linéaire %D 2009 %P 903-915 %V 26 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpc.2008.03.008/ %R 10.1016/j.anihpc.2008.03.008 %G en %F AIHPC_2009__26_3_903_0
Bayard, Pierre; Delanoë, Philippe. Entire Spacelike Radial Graphs in the Minkowski Space, Asymptotic to the Light-Cone, With Prescribed Scalar Curvature. Annales de l'I.H.P. Analyse non linéaire, Tome 26 (2009) no. 3, pp. 903-915. doi : 10.1016/j.anihpc.2008.03.008. http://www.numdam.org/articles/10.1016/j.anihpc.2008.03.008/
[1] Existence of Maximal Surfaces in Asymptotically Flat Spacetimes, Commun. Math. Phys. 94 (1984) 155-175. | MR | Zbl
,[2] Dirichlet Problem for Space-Like Hypersurfaces With Prescribed Scalar Curvature in , Calc. Var. 18 (2003) 1-30. | MR | Zbl
,[3] Entire Spacelike Hypersurfaces of Prescribed Scalar Curvature in Minkowski Space, Calc. Var. 26 (2) (2006) 245-264. | MR | Zbl
,[4] P. Bayard, O. Schnürer, Entire spacelike hypersurfaces of constant Gauss curvature in Minkowski space, preprint, 2006. | MR | Zbl
[5] Nonlinear Second Order Elliptic Equations IV. Starshaped Compact Weingarten Hypersurfaces, in: , , (Eds.), Current Topics in Partial Differential Equations, Kinokunize Co., Tokyo, 1986, pp. 1-26. | MR | Zbl
, , ,[6] Plongements Radiaux À Courbure De Gauss Positive Prescrite, Ann. Sci. École Norm. Sup. (4) 18 (1985) 635-649. | Numdam | MR | Zbl
,[7] Elliptic Partial Differential Equations of Second Order, second ed., Springer-Verlag, 1983. | MR | Zbl
, ,[8] Entire Spacelike Hypersurfaces of Prescribed Gauss Curvature in Minkowski Space, J. reine angew. Math. 595 (2006) 167-188. | MR | Zbl
, , ,[9] A Description of the Stability Cones Generated by Differential Operators of Monge-Ampère Type, Math. USSR Sb. 50 (1) (1985) 259-268. | Zbl
,[10] Solution of the Dirichlet Problem for Curvature Equations of Order M, Math. USSR Sb. 67 (2) (1990) 317-339. | MR | Zbl
,[11] Spacelike Hypersurfaces With Constant Gauss-Kronecker Curvature in the Minkowski Space, Arch. Math. 64 (6) (1995) 534-551. | MR | Zbl
,[12] An Elementary Version of the Leray-Schauder Theorem, J. London Math. Soc. 5 (2) (1972) 414-416. | MR | Zbl
,[13] Embedded Hyperspheres With Prescribed Mean Curvature, J. Differential Geom. 18 (1983) 513-521. | MR | Zbl
, ,[14] The Dirichlet Problem for the Prescribed Curvature Equations, Arch. Rat. Mech. Anal. 111 (1990) 99-112. | MR | Zbl
,[15] The Dirichlet Problem for the Equation of Prescribed Scalar Curvature in Minkowski Space, Calc. Var. 18 (2003) 307-316. | MR | Zbl
,Cité par Sources :