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Affine Bernstein problems and Monge-...

Li, An-Min, (1946-)

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Affine Bernstein problems and Monge-Ampère equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Affine Bernstein problems and Monge-Ampère equations/ An-Min Li ... [et al.].
other author:	Li, An-Min,
Published:	New Jersey :World Scientific, : c2010.,
Description:	1 online resource (xii, 180 p.) :ill.
Subject:	Affine differential geometry. -
Online resource:	http://www.worldscientific.com/worldscibooks/10.1142/6835#t=toc
ISBN:	9789812814173 (electronic bk.)

Affine Bernstein problems and Monge-Ampère equations
Affine Bernstein problems and Monge-Ampère equations[electronic resource] /An-Min Li ... [et al.]. - New Jersey :World Scientific,c2010. - 1 online resource (xii, 180 p.) :ill.

Includes bibliographical references (p. 173-177) and index.

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

ISBN: 9789812814173 (electronic bk.)Subjects--Topical Terms:

2016267
Affine differential geometry.
Index Terms--Genre/Form:

542853
Electronic books.

LC Class. No.: QA643 / .A34 2010eb

Dewey Class. No.: 516.36

Affine Bernstein problems and Monge-Ampère equations
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245 0 0 $a Affine Bernstein problems and Monge-Ampère equations $h [electronic resource] / $c An-Min Li ... [et al.].
260 $a New Jersey : $b World Scientific, $c c2010.
300 $a 1 online resource (xii, 180 p.) : $b ill.
504 $a Includes bibliographical references (p. 173-177) and index.
520 $a 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
588 $a Description based on print version record.
650 0 $a Affine differential geometry. $3 2016267
650 0 $a Monge-Ampère equations. $3 2016268
655 0 $a Electronic books. $2 lcsh $3 542853
700 1 $a Li, An-Min, $d 1946- $3 708785
856 4 0 $u http://www.worldscientific.com/worldscibooks/10.1142/6835#t=toc