Convex Analysis and Nonlinear Geometric Elliptic Equations
Seiten
1994
Springer Berlin (Hersteller)
978-3-540-13620-0 (ISBN)
Springer Berlin (Hersteller)
978-3-540-13620-0 (ISBN)
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This graduate-level text examines the areas of convex functions and bodies, global geometric problems and nonlinear elliptic boundary value problems, emphasizing Monge-Ampere equations.
This is suitable as a graduate text and reference work in the areas of convex functions and bodies, global geometric problems, and non-linear elliptic boundary value problems with special emphasis on Monge-Ampere equations. The theory of convex functions and bodies is presented first so that it can be used to study the other areas. In fact, the author makes a point of emphasizing the interrelationship of all the areas mentioned above. This enables the reader to obtain a working knowledge of the material. Specific topics of the book include the Minkowski problem, mixed volumes of convex bodies, the Brunn-Minkowski inequalities, geometric maximum principles, the normal mapping of convex hypersurfaces and the R-curvature of convex functions.
Sprache | englisch |
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Gewicht | 896 g |
Einbandart | gebunden |
Schlagworte | Differenzialgleichungen |
ISBN-10 | 3-540-13620-7 / 3540136207 |
ISBN-13 | 978-3-540-13620-0 / 9783540136200 |
Zustand | Neuware |
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