A course in minimal surfaces / Tobias Holck Colding, William P. Minicozzi II

Von:

Colding, Tobias H [VerfasserIn]

Mitwirkende(r):

Minicozzi, William P, 1967- [VerfasserIn]

Resource type: Ressourcentyp: BuchBuchSprache: Englisch Reihen: Graduate studies in mathematics ; volume 121Verlag: Providence, Rhode Island : American Mathematical Society, [2011]Copyright-Datum: © 2011Beschreibung: XII, 313 Seiten : Diagramme ; 26 cmISBN:

9780821853238

Schlagwörter:

MSC: MSC: *53A10 | 53C42 | 58E12 | 49Q05RVK: RVK: SK 370LOC-Klassifikation:

QA644

Zusammenfassung: "Minimal surfaces date back to Euler and Lagrange and the beginning of the calculus of variations. Many of the techniques developed have played key roles in geometry and partial differential equations. Examples include monotonicity and tangent cone analysis originating in the regularity theory for minimal surfaces, estimates for nonlinear equations based on the maximum principle arising in Bernstein's classical work, and even Lebesgue's definition of the integral that he developed in his thesis on the Plateau problem for minimal surfaces. This book starts with the classical theory of minimal surfaces and ends up with current research topics. Of the various ways of approaching minimal surfaces (from complex analysis, PDE, or geometric measure theory), the authors have chosen to focus on the PDE aspects of the theory. The book also contains some of the applications of minimal surfaces to other fields including low dimensional topology, general relativity, and materials science."--Publisher's descriptionPPN: PPN: 638806615

Exemplare ( 1 )

Exemplare
Medientyp	Heimatbibliothek	Standort	Signatur	Status	Barcode
Freihandbestand ausleihbar	Fachbibliothek Mathematik	Bibliothek / frei aufgestellt	Geom. / Col	Verfügbar	36503255090

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