Abstract
We extend a procedure for solving particular fourth order PDEs by splitting them into two linked second order Monge–Ampère equations. We use this for the global study of Blaschke hypersurfaces with prescribed Gauss–Kronecker curvature.
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Li, AM., Simon, U. & Zhao, G. Hypersurfaces with Prescribed Affine Gauss–Kronecker Curvature. Geometriae Dedicata 81, 141–166 (2000). https://doi.org/10.1023/A:1005232207442
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DOI: https://doi.org/10.1023/A:1005232207442