Convex Analysis and Nonlinear Geometric Elliptic Equations - Couverture rigide

Bakelman, Ilya-J

 
9783540136200: Convex Analysis and Nonlinear Geometric Elliptic Equations

Synopsis

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.

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Autres éditions populaires du même titre

9783642698835: Convex Analysis and Nonlinear Geometric Elliptic Equations

Edition présentée

ISBN 10 :  3642698832 ISBN 13 :  9783642698835
Editeur : Springer, 2011
Couverture souple