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Item Details
| Title:
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AFFINE BERNSTEIN PROBLEMS AND MONGE-AMPERE EQUATIONS
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| By: |
Ruiwei Xu, An-Min Li, Fang Jia |
| Format: |
Hardback |
| List price:
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£71.00 |
| Our price: |
£63.90 |
| Discount: |
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| You save:
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£7.10 |
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| ISBN 10: |
9812814167 |
| ISBN 13: |
9789812814166 |
| Availability: |
Reprinting. This item may be subject to delays or cancellation.
 Delivery
rates
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| Stock: |
Currently 0 available |
| Publisher: |
WORLD SCIENTIFIC PUBLISHING CO PTE LTD |
| Pub. date: |
28 April, 2010 |
| Pages: |
192 |
| Description: |
Covers the interplay between geometry and partial differential equations (PDEs). This title focuses on variational problems and higher order PDEs for affine hypersurfaces. |
| Synopsis: |
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-Ampere equations.From the methodical point of view, it introduces the solution of certain Monge-Ampere 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. |
| Publication: |
Singapore |
| Imprint: |
World Scientific Publishing Co Pte Ltd |
| Returns: |
Returnable |
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