论文信息 - On the existence and regularity of hypersurfaces of prescribed Gauss curvature with boundary

On the existence and regularity of hypersurfaces of prescribed Gauss curvature with boundary

In this paper we study the Dirichlet problem for some Monge-Ampère type equations on S, which naturally arise in some geometric problems. The result then is applied to prove the existence of hypersurfaces in R of prescribed Gauss-Kronecker curvature and with fixed boundary.

Bo Guan | Bo Guan

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