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Regularity of Minimal Surfaces
Dierkes, Ulrich; Hildebrandt, Stefan; Tromba, Anthony J.
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Description for Regularity of Minimal Surfaces
Hardcover. This is the second of a three-volume treatise on minimal surfaces. It deals with basic regularity results for minimal surfaces concerning their boundary behavior at Plateau boundaries and free boundaries. Series: Die Grundlehren der Mathematischen Wissenschaften. Num Pages: 640 pages, 62 black & white illustrations, 6 colour illustrations, biography. BIC Classification: PBK; PBMP. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 34. Weight in Grams: 1124.
Regularity of Minimal Surfaces begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundary behaviour of minimal surfaces and H-surfaces with fixed or free boundaries are studied. In particular, the asymptotic expansions at interior and boundary branch points are derived, leading to general Gauss-Bonnet formulas. Furthermore, gradient estimates and asymptotic expansions for minimal surfaces with only piecewise smooth boundaries are obtained. One of the main features of free boundary value problems for minimal surfaces is that, for principal reasons, it is impossible to derive a priori estimates. Therefore regularity proofs for non-minimizers ... Read more
Regularity of Minimal Surfaces begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundary behaviour of minimal surfaces and H-surfaces with fixed or free boundaries are studied. In particular, the asymptotic expansions at interior and boundary branch points are derived, leading to general Gauss-Bonnet formulas. Furthermore, gradient estimates and asymptotic expansions for minimal surfaces with only piecewise smooth boundaries are obtained. One of the main features of free boundary value problems for minimal surfaces is that, for principal reasons, it is impossible to derive a priori estimates. Therefore regularity proofs for non-minimizers ... Read more
Product Details
Format
Hardback
Publication date
2012
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
668
Condition
New
Series
Die Grundlehren der Mathematischen Wissenschaften
Number of Pages
623
Place of Publication
Berlin, Germany
ISBN
9783642116995
SKU
V9783642116995
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Regularity 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