@article{ASENS_1985_4_18_4_635_0, author = {Delano\"e, Ph.}, title = {Plongements radiaux $S^n\hookrightarrow {R}^{n+1}$ \`a courbure de {Gauss} positive prescrite}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {635--649}, publisher = {Elsevier}, volume = {4e s{\'e}rie, 18}, number = {4}, year = {1985}, doi = {10.24033/asens.1498}, mrnumber = {87j:53011}, zbl = {0594.53039}, language = {fr}, url = {https://www.numdam.org/articles/10.24033/asens.1498/} }
TY - JOUR AU - Delanoë, Ph. TI - Plongements radiaux $S^n\hookrightarrow {R}^{n+1}$ à courbure de Gauss positive prescrite JO - Annales scientifiques de l'École Normale Supérieure PY - 1985 SP - 635 EP - 649 VL - 18 IS - 4 PB - Elsevier UR - https://www.numdam.org/articles/10.24033/asens.1498/ DO - 10.24033/asens.1498 LA - fr ID - ASENS_1985_4_18_4_635_0 ER -
%0 Journal Article %A Delanoë, Ph. %T Plongements radiaux $S^n\hookrightarrow {R}^{n+1}$ à courbure de Gauss positive prescrite %J Annales scientifiques de l'École Normale Supérieure %D 1985 %P 635-649 %V 18 %N 4 %I Elsevier %U https://www.numdam.org/articles/10.24033/asens.1498/ %R 10.24033/asens.1498 %G fr %F ASENS_1985_4_18_4_635_0
Delanoë, Ph. Plongements radiaux $S^n\hookrightarrow {R}^{n+1}$ à courbure de Gauss positive prescrite. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 18 (1985) no. 4, pp. 635-649. doi : 10.24033/asens.1498. https://www.numdam.org/articles/10.24033/asens.1498/
[1] Existence of Spherically Homeomorphic Hypersurfaces in Euclidean Space with Prescribed Mean Curvature (Geometry and Topology, Léningrad, vol. 1, 1974, p. 3-10). | MR
et ,[2] Le Spectre d'une variété riemannienne (Lect. Notes Math., n° 194, Springer Verlag Berlin, Heidelberg, New York, 1971). | MR | Zbl
, et ,[3] On the regularity of the Solution of the n-Dimensional Minkowski Problem (Comm. Pure Appl. Math., vol. XXXIX, 1976, p. 495-516). | MR | Zbl
et ,[4], [5], [6] Equations du type de Monge-Ampère sur les variétés riemanniennes compactes I, II, III, (J. Funct. Anal., vol. 40, n° 3, 1981, p. 358-386; vol. 41, n° 3, 1981, p. 341-353; vol. 45, n° 3, 1982, p. 403-430). | Zbl
,[7] Equations de Monge-Ampère invariantes sur les variétés riemanniennes Compactes (Ann. Inst. Henri Poincaré Anal. Non Linéaire, vol. 1, n° 3, 1984, p. 147-178). | Numdam | MR | Zbl
,[8] About Nonlinear Elliptic Problems on Compact Manifolds (à paraître).
et ,[9] Topologie et équations fonctionnelles (Ann. Sci. Éc. Norm. Sup., vol. 51, 1934, p. 45-78). | JFM | Numdam | Zbl
et ,[10] Multiple Integrals in the Calculus of Variations (Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen Band, 130, Springer-Verlag, Berlin, Heidelberg, New York, 1966). | MR | Zbl
,[11] The Weyl and Minkowski Problems in Differential Geometry in the Large (Comm. Pure Appl. Math., vol. VI, 1953, p. 337-394). | MR | Zbl
,[12] Hypersurfaces in ℝn + 1 with Prescribed Gaussian Curvature and Related Equations of Monge-Ampère Type, (Comm. P.D.E., vol. 9, n° 8, 1984, p. 807-838). | MR | Zbl
,[13] The Minkowski Multidimensional Problem (Winston-Wiley, 1978, New York, Toronto, London, Sydney). | MR
,[14] Maximum Principles in Differential Equations (Prentice-Hall, Inc., Englewood Cliffs, N.Y., 1967). | MR | Zbl
et ,[15] Embedded Hyperspheres with prescribed Mean Curvature, (preprint M.S.R.I., 026-83, Berkeley, March 1983). | MR
et ,[16] Reconstruction d'une surface fermée convexe à partir de sa courbure de Gauss (Questions de Géométrie Globale, A. L. VERNER éd., Inst. Pédag. d'État de Léningrad, 1979, p. 7-12, en russe). | Zbl
,[17] Seminar on Differential Geometry (Ann. of Math. Studies, Study 102, Princeton University Press, Princeton N.J., 1982). | MR | Zbl
éd.,[18] Nonlinear Second Order Elliptic Equations IV. Starshaped Compact Weingarten Hypersurfaces, (preprint 1985). | MR
, et ,- On the functional ∫Ωf + ∫Ω*g, Advanced Nonlinear Studies, Volume 24 (2024) no. 1, p. 29 | DOI:10.1515/ans-2023-0105
- Starshaped compact hypersurfaces in warped product manifolds I: prescribed curvature equations, Calculus of Variations and Partial Differential Equations, Volume 63 (2024) no. 9 | DOI:10.1007/s00526-024-02839-w
- The geometry of Φ(3)-harmonic maps, Nonlinear Analysis, Volume 234 (2023), p. 113318 | DOI:10.1016/j.na.2023.113318
-
-Harmonic Maps and -Superstrongly Unstable Manifolds, The Journal of Geometric Analysis, Volume 32 (2022) no. 1 | DOI:10.1007/s12220-021-00770-6 - Starshaped sets, Aequationes mathematicae, Volume 94 (2020) no. 6, p. 1001 | DOI:10.1007/s00010-020-00720-7
- A maximum problem of S.-T. Yau for variational p-capacity, Advances in Geometry, Volume 17 (2017) no. 4, p. 483 | DOI:10.1515/advgeom-2017-0035
- Entire spacelike radial graphs in the Minkowski space, asymptotic to the light-cone, with prescribed scalar curvature, Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 26 (2009) no. 3, p. 903 | DOI:10.1016/j.anihpc.2008.03.008
- The Christoffel-Minkowski Problem II: Weingarten Curvature Equations*, Chinese Annals of Mathematics, Series B, Volume 27 (2006) no. 6, p. 595 | DOI:10.1007/s11401-005-0575-0
- Hypersurfaces d'un fibré vectoriel Riemannien à courbure de Gauss prescrite, Comptes Rendus. Mathématique, Volume 335 (2002) no. 11, p. 927 | DOI:10.1016/s1631-073x(02)02588-8
- Closed Weingarten hypersurfaces in Riemannian manifolds, Journal of Differential Geometry, Volume 43 (1996) no. 3 | DOI:10.4310/jdg/1214458325
- Existence of convex hypersurfaces with prescribed Gauss-Kronecker curvature, Transactions of the American Mathematical Society, Volume 348 (1996) no. 11, p. 4501 | DOI:10.1090/s0002-9947-96-01650-9
- Exemples de courbes pseudo-holomorphes en géométrie riemannienne, Holomorphic Curves in Symplectic Geometry, Volume 117 (1994), p. 251 | DOI:10.1007/978-3-0348-8508-9_10
- A direct method approach for the existence of convex hypersurfaces with prescribed Gauss-Kronecker curvature, Mathematische Zeitschrift, Volume 209 (1992) no. 1, p. 339 | DOI:10.1007/bf02570839
- Classical solvability in dimension two of the second boundary-value problem associated with the Monge-Ampère operator, Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 8 (1991) no. 5, p. 443 | DOI:10.1016/s0294-1449(16)30256-6
- Convex hypersurfaces with prescribed Gauss-Kronecker curvature, Journal of Differential Geometry, Volume 34 (1991) no. 2 | DOI:10.4310/jdg/1214447213
- Bounds for hyperspheres of prescribed Gaussian curvature, Journal of Differential Geometry, Volume 31 (1990) no. 3 | DOI:10.4310/jdg/1214444638
Cité par 16 documents. Sources : Crossref