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Minimal Surfaces: Grundlehren der mathematischen Wissenschaften, cartea 339-341

Autor Ulrich Dierkes Contribuţii de Ruben Jakob Autor Stefan Hildebrandt Contribuţii de Albrecht Küster Autor Friedrich Sauvigny, Anthony Tromba
en Limba Engleză Carte – 14 oct 2010
The three-volume treatise consists of the volumes Minimal Surfaces (GL 339), Regularity of Minimal Surfaces (GL 340), and Glolbal Theory of Minimal Surfaces (GL 341) that replace the monograph Minimal Surfaces I , II, published as volumes 295 and 296  of the Grundlehren der mathematischen Wissenschaft series.
Ther first volume covers the classical theory as well as existence results concerning boundary value problems for minimal surfaces, in particular results for Plateau's problem.
The second volume deals with basic regularity results for minimal surfaces concerning their boundary behaviour at Plateau boundaries and free boundaries. Moreover, exclosure theorems, isoperimetricc inequalities and existence theorems for surfaces of prescribed mean curvature in a Riemanian manifold and for the thread problem are discussed.
Finally, the third volume 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. Secondly, a global theory of minimal surfaces (as envisioned by Smale) is presented, including index theorems.
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Specificații

ISBN-13: 9783642117152
ISBN-10: 3642117155
Pagini: 1910
Ilustrații: L, 1910 p. 3 volume-set.
Ediția:2nd, rev. and enlarged ed. 2011
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Grundlehren der mathematischen Wissenschaften

Locul publicării:Berlin, Heidelberg, Germany

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