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Convex Analysis and Nonlinear Geometric Elliptic Equations

Convex Analysis and Nonlinear Geometric Elliptic Equations (Hardback)

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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.

Science & MathematicsMathematicsApplied mathematicsScience & MathematicsMathematicsCalculus & mathematical analysisDifferential calculus & equations Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Publication Date: 23/11/1994 ISBN-13: 9783540136200  Details: Type: Hardback Format: Books
Availability: Unavailable. This title is Out of Print.  

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