Convex analysis and nonlinear geometric elliptic equations.

Ilya J. Bakelman; I. I︠A︡ Bakel′man

ISBN 10: 3540136207 / ISBN 13: 9783540136200

Editore: Berlin, Springer, 1994

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Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-02617 3540136207 Sprache: Englisch Gewicht in Gramm: 1150. Codice articolo 2488488

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Titolo: Convex analysis and nonlinear geometric ...

Casa editrice: Berlin, Springer

Data di pubblicazione: 1994

Legatura: Hardcover

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Riassunto:

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.