Minimal surfaces / Ulrich Dierkes, Stefan Hildebrandt, Friedrich Sauvigny ; with assistance and contributions by A. Küster and R. Jakob
Type de document : Livre numériqueCollection : Grundlehren der mathematischen wissenschaften, 339Langue : anglais.Éditeur : Berlin : Springer, 2010ISBN: 9783642116988.ISSN: 0072-7830.Sujet MSC : 53-02, Research exposition (monographs, survey articles) pertaining to differential geometry53A10, Classical differential geometry, Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
35J60, PDEs - Elliptic equations and elliptic systems, Nonlinear elliptic equations
49Q05, Calculus of variations and optimal control; optimization - Manifolds and measure-geometric topics, Minimal surfaces and optimization
35-02, Research exposition (monographs, survey articles) pertaining to partial differential equationsEn-ligne : Springerlink | Zentralblatt | MathSciNet
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This book is the first volume of a treatise on minimal surfaces consisting of three volumes altogether, which can be read and studied independently of each other. The central theme is boundary value problems for minimal surfaces, such as Plateau's problem. This volume is in many ways an introduction to differential geometry and to the classical theory of minimal surfaces, and the first four chapters should be readable for graduate students since the only prerequisites are the elements of vector analysis and some basic knowledge of complex analysis. ... (MathSciNet)
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