Plongements radiaux $S\sp n\hookrightarrow {R}\sp {n+1}$ à courbure de Gauss positive prescrite

DOI10.24033/asens.1498zbMath0594.53039OpenAlexW2409214048MaRDI QIDQ3725135

Philippe P. Delanoë

Publication date: 1985

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1985_4_18_4_635_0

zbMATH Keywords

a priori estimatesMonge-Ampere equationconvex hypersurfaceprescribed curvatureGauss curvature problem

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Nonlinear elliptic equations (35J60) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

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