Affine Bernstein Problems and Monge-Ampere Equations
Li, An-Min / Jia, Fang / Simon, Udo / Xu, Ruiwei
In this monograph, the interplay between geometry and partial differential equations (PDEs) is of particular interest. It gives a selfcontained introduction to research in the last decade concerning global problems in the theory of submanifolds, leading to some types of Monge-Amp re equations. From the methodical point of view, it introduces the solution of certain Monge-Amp re equations via geometric modeling techniques. Here geometric modeli...