Convex Analysis and Nonlinear Geometric Elliptic Equations - Hardcover

Bakelman, I.

 
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.

"synopsis" may belong to another edition of this title.

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.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9783642698835: Convex Analysis and Nonlinear Geometric Elliptic Equations

Featured Edition

ISBN 10:  3642698832 ISBN 13:  9783642698835
Publisher: Springer, 2011
Softcover