| Description |
1 online resource (xii, 180 pages) : illustrations |
| Physical Medium |
polychrome |
| Description |
text file |
| Bibliography |
Includes bibliographical references (pages 173-177) and index. |
| Contents |
Basic tools -- Local equiaffine hypersurfaces -- Local relative hypersurfaces -- The theorem of Jörgens-Calabi-Pogorelov -- Affine maximal hypersurfaces -- Hypersurfaces with constant affine mean curvature. |
| 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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Affine differential geometry.
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Affine differential geometry. |
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Monge-Ampère equations.
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Monge-Ampère equations. |
| Genre/Form |
Electronic books.
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Electronic books.
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| Added Author |
Li, An-Min, 1946-
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| Other Form: |
Print version: Affine Bernstein problems and Monge-Ampère equations. Singapore ; Hackensack, NJ : World Scientific, ©2010 9789812814166 (OCoLC)619946367 |
| ISBN |
9789812814173 (electronic book) |
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9812814175 (electronic book) |
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9789812814166 |
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9812814167 |
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