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Boundary value problems for surfaces of prescribed Gauss curvature and Monge-Ampere equations
Abstract
This dissertation consists of three parts. The first part studies hypersurfaces of prescribed Gauss curvature with given boundary, using the theory of Monge-Ampere equations. The second part concerns with the complex Monge-Ampere equations. The third part studies the Dirichlet problem for a class of fully nonlinear elliptic equations of second order.
Subject Area
Mathematics
Recommended Citation
Guan, Bo, "Boundary value problems for surfaces of prescribed Gauss curvature and Monge-Ampere equations" (1992). Doctoral Dissertations Available from Proquest. AAI9305833.
https://scholarworks.umass.edu/dissertations/AAI9305833