<図書>
Convex analysis and nonlinear geometric elliptic equations
責任表示 | Ilya J. Bakelman |
---|---|
データ種別 | 図書 |
出版情報 | Berlin ; New York : Springer-Verlag , c1994 |
本文言語 | 英語 |
大きさ | xxi, 510 p. : ill. ; 25 cm |
概要 | This book is suitable as a graduate text and reference work in the areas of convex functions and bodies, global geometric problems, and nonlinear elliptic boundary value problems with special emphasi... 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, the R-curvature of convex functions. This book is suitable as a graduate text and reference work in the areas of convex functions and bodies, global geometric problems, and nonlinear 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, the R-curvature of convex functions. 続きを見る |
電子版へのリンク | https://hdl.handle.net/2324/6872605 |
所蔵情報
状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
---|---|---|---|---|---|---|---|---|---|---|
|
|
理系図3F 数理独自 | BAKE/10/2 | 1994 |
|
068222194007842 |
|
|||
|
|
芸工図 2F 書架 | 413.5/B15 | 1994 |
|
072032194008671 |
|
書誌詳細
一般注記 | Includes bibliographical references and index |
---|---|
著者標目 | *Bakel′man, I. I︠A︡. (Ilʹi︠a︡ I︠A︡kovlevich), 1928- |
件 名 | LCSH:Convex functions LCSH:Convex sets LCSH:Differential equations, Elliptic LCSH:Monge-Ampère equations |
分 類 | LCC:QA331.5 DC20:515/.8 |
書誌ID | 1000036118 |
ISBN | 3540136207 |
NCID | BA23976185 |
巻冊次 | : Berlin ; ISBN:3540136207 : New York ; ISBN:0387136207 |
登録日 | 2009.09.10 |
更新日 | 2009.11.02 |