Can I read Affine Bernstein Problems and Monge-Ampère Equations on EtoBox?

Affine Bernstein Problems and Monge-Ampère Equations by An-min Li, Udo Simon, Fang Jia, Ruiwei Xu is a nonfiction available to read on EtoBox.

What is Affine Bernstein Problems and Monge-Ampère Equations about?

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-Ampà ̈re equations. From the methodical point of view, it introduces the solution of certain Monge-Ampà ̈re equations via geometric modeling techniques. Here geometric modeling means the appropriate choice of a normalization and its induced geometry on a hypersurface defined by a local strongly convex global graph. For a better understanding of the modeling techniques, the authors give a selfcontained summary of relative hypersurface theory, they derive important PDEs (e.g. affine spheres, affine maximal surfaces, and the affine constant mean curvature equation). Concerning modeling techniques, emphasis is on carefully structured proofs and exemplary comparisons between different modelings.

Who reads Affine Bernstein Problems and Monge-Ampère Equations?

Author

An-min Li, Udo Simon, Fang Jia, Ruiwei Xu

Publisher

World Scientific Publishing Company

Published

2010

Language

EN

ISBN

9789812814173

Category

nonfiction

Subjects

Mathematics, Stem