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Global Analysis of Minimal Surfaces
Dierkes, Ulrich; Hildebrandt, Stefan; Tromba, Anthony
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Description for Global Analysis of Minimal Surfaces
paperback. This is the third of a three-volume treatise on minimal surfaces. It deals with geometric properties of minimal surfaces with free boundaries and with a priori gradient estimates for n-dimensional minimal surfaces, leading to various Bernstein-type theorems. Series: Grundlehren der Mathematischen Wissenschaften. Num Pages: 553 pages, 41 black & white illustrations, 5 colour illustrations, biography. BIC Classification: PBKD; PBKJ; PBKQ; PBKS; PBMP; PHU. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 33. Weight in Grams: 842.
Many properties of minimal surfaces are of a global nature, and this is already true for the results treated in the first two volumes of the treatise. Part I of the present book can be viewed as an extension of these results. For instance, the first two chapters deal with existence, regularity and uniqueness theorems for minimal surfaces with partially free boundaries. Here one of the main features is the possibility of "edge-crawling" along free parts of the boundary. The third chapter deals with a priori estimates for minimal surfaces in higher dimensions and for minimizers of singular integrals related ... Read more
Many properties of minimal surfaces are of a global nature, and this is already true for the results treated in the first two volumes of the treatise. Part I of the present book can be viewed as an extension of these results. For instance, the first two chapters deal with existence, regularity and uniqueness theorems for minimal surfaces with partially free boundaries. Here one of the main features is the possibility of "edge-crawling" along free parts of the boundary. The third chapter deals with a priori estimates for minimal surfaces in higher dimensions and for minimizers of singular integrals related ... Read more
Product Details
Format
Paperback
Publication date
2012
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
553
Condition
New
Series
Grundlehren der Mathematischen Wissenschaften
Number of Pages
537
Place of Publication
Berlin, Germany
ISBN
9783642265334
SKU
V9783642265334
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Global Analysis of Minimal Surfaces
From the reviews of the second edition: “The most complete and thorough record of the ongoing efforts to justify Lagrange’s optimism. … contain a wealth of new material in the form of newly written chapters and sections … . a compilation of results and proofs from a vast subject. Here were true scholars in the best sense of the ... Read more