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Convex Analysis and Nonlinear Geometric Elliptic Equations

XXI, 510 Seiten
1994
Springer Berlin (Hersteller)
978-3-540-13620-0 (ISBN)
CHF 167,70 inkl. MwSt
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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
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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