Affine Bernstein problems and Monge-Ampère equations /

Affine Bernstein problems and Monge-Ampère equations /

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Bibliographic Details
Imprint:New Jersey : World Scientific, ©2010.
Description:1 online resource (xii, 180 pages) : illustrations
Language:English
Subject:
Affine differential geometry.
Monge-Ampère equations.
Affine differential geometry.
Monge-Ampère equations.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11284577
Hidden Bibliographic Details
Other authors / contributors:Li, An-Min, 1946-
ISBN:9789812814173
9812814175
9789812814166
9812814167
Notes:Includes bibliographical references (pages 173-177) and index.
Print version record.
Summary:In this monograph, the interplay between geometry and partial differential equations (PDEs) is of particular interest. It is well-known that many geometric problems in analytic formulation lead to important classes of PDEs. The focus of this monograph is on variational problems and higher order PDEs for affine hypersurfaces. Affine maximal hypersurfaces are extremals of the interior variation of the affinely invariant volume. The corresponding Euler-Lagrange equation is a highly complicated nonlinear fourth order PDE. In recent years, the global study of such fourth order PDEs has received con.
Other form:Print version: Affine Bernstein problems and Monge-Ampère equations. Singapore ; Hackensack, NJ : World Scientific, ©2010 9789812814166

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