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Affine Berstein Problems and Monge-Ampere Equations - An-min Li
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An-min Li:
Affine Berstein Problems and Monge-Ampere Equations - edition reliée, livre de poche

ISBN: 9812814167

[SR: 8469227], Hardcover, [EAN: 9789812814166], World Scientific Publishing Company, World Scientific Publishing Company, Book, [PU: World Scientific Publishing Company], World Scientific Publishing Company, 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-Ampère equations. From the methodical point of view, it introduces the solution of certain Monge-Ampère 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., 13911, Differential Equations, 226699, Applied, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13930, Analytic Geometry, 226700, Geometry & Topology, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13932, Differential Geometry, 226700, Geometry & Topology, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 491546, Geometry, 468218, Mathematics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books

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Affine Bernstein Problems and Monge-Ampere Equations - Ruiwei Xu#An-Min Li#Udo Simon
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Ruiwei Xu#An-Min Li#Udo Simon:
Affine Bernstein Problems and Monge-Ampere Equations - nouveau livre

ISBN: 9789812814166

ID: 836073160

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-Amp re equations. From the methodical point of view, it introduces the solution of certain Monge-Amp 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. Affine Bernstein Problems and Monge-Ampere Equations Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, World Scientific Pub Co Inc

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Affine Bernstein Problems and Monge-Ampere Equations - Li, An-Min; Jia, Fang; Simon, Udo
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Li, An-Min; Jia, Fang; Simon, Udo:
Affine Bernstein Problems and Monge-Ampere Equations - nouveau livre

ISBN: 9789812814166

ID: 731103

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 considerable attention. The authors, leading experts in the field with strong own contributions, present a systematic exposition of the topics in this book. Mathematics Mathematics eBook, World Scientific Publishing Company

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Affine Bernstein Problems And Monge-ampere Equations - Ruiwei Xu
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Ruiwei Xu:
Affine Bernstein Problems And Monge-ampere Equations - edition reliée, livre de poche

ISBN: 9789812814166

Hardback, [PU: World Scientific Publishing Co Pte Ltd], Covers the interplay between geometry and partial differential equations (PDEs). This title focuses on variational problems and higher order PDEs for affine hypersurfaces., Geometry

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Affine Bernstein Problems And Monge-ampere Equations - Ruiwei Xu
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Ruiwei Xu:
Affine Bernstein Problems And Monge-ampere Equations - edition reliée, livre de poche

ISBN: 9789812814166

ID: 9789812814166

Affine Bernstein Problems And Monge-ampere Equations Affine-Bernstein-Problems-And-Monge-ampere-Equations~~Ruiwei-Xu Science>Mathematics>Mathematics Hardcover, World Scientific Publishing Company, Incorporated

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Détails sur le livre
Affine Bernstein Problems and Monge-Ampere Equations

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-Amp re equations. From the methodical point of view, it introduces the solution of certain Monge-Amp 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.

Informations détaillées sur le livre - Affine Bernstein Problems and Monge-Ampere Equations


EAN (ISBN-13): 9789812814166
ISBN (ISBN-10): 9812814167
Version reliée
Date de parution: 2010
Editeur: WORLD SCIENTIFIC PUB CO (
180 Pages
Poids: 0,567 kg
Langue: eng/Englisch

Livre dans la base de données depuis 20.08.2009 08:35:59
Livre trouvé récemment le 13.01.2018 17:28:21
ISBN/EAN: 9789812814166

ISBN - Autres types d'écriture:
981-281-416-7, 978-981-281-416-6


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