A 2-STEP MONGE-AMPERE PROCEDURE FOR SOLVING A 4TH ORDER PDE FOR AFFINE HYPERSURFACES WITH CONSTANT CURVATURE

Authors
LI AM SIMON U CHEN BH
Citation
Am. Li et al., A 2-STEP MONGE-AMPERE PROCEDURE FOR SOLVING A 4TH ORDER PDE FOR AFFINE HYPERSURFACES WITH CONSTANT CURVATURE, Journal fur die Reine und Angewandte Mathematik, 487, 1997, pp. 179-200
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Journal fur die Reine und Angewandte Mathematik → ACNP
ISSN journal
00754102
Volume
487
Year of publication
1997
Pages
179 - 200
Database
ISI
SICI code
0075-4102(1997)487:<179:A2MPFS>2.0.ZU;2-H
Abstract
We investigate locally strongly convex, affine-complete, hyperbolic hy persurfaces with constant affine Gauss-Kronecker curvature. Our emphaz is is on the method: we solve a fourth order equation in two steps, ea ch step consisting of the solution of a Monge-Ampere equation. This pr ocedure is suggested by the geometry of the problem.