Plateau's Problem and the Calculus of Variations
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A01=Michael Struwe
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Author_Michael Struwe
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Banach space
Bernhard Riemann
Big O notation
Boundary value problem
Branch point
C0
Calculus of variations
Category1=Non-Fiction
Category=PBKQ
Category=PBMP
Closed geodesic
Compact space
Complex analysis
Complex number
Conformal map
Conjecture
Contradiction
Convex curve
Convex set
COP=United States
Delivery_Delivery within 10-20 working days
Differentiable function
Direct method in the calculus of variations
Dirichlet integral
Dirichlet problem
Embedding
eq_isMigrated=2
eq_nobargain
Estimation
Euler-Lagrange equation
Existential quantification
Geometric measure theory
Global analysis
Jordan curve theorem
Language_English
Linear differential equation
Mathematical analysis
Mathematical problem
Mathematician
Maximum principle
Mean curvature
Metric space
Minimal surface
Modulus of continuity
Morse theory
Nonparametric statistics
Normal (geometry)
PA=Available
Parallel projection
Parameter space
Parametrization
Partial differential equation
Plateau's problem
Price_€20 to €50
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Quadratic growth
Quantity
Riemann mapping theorem
Second derivative
Sign (mathematics)
softlaunch
Special case
Surface area
Tangent space
Theorem
Total curvature
Uniform convergence
Variational method (quantum mechanics)
Variational principle
W0
Weak solution
Product details
- ISBN 9780691607757
- Weight: 227g
- Dimensions: 152 x 229mm
- Publication Date: 14 Jul 2014
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
- Language: English
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This book is meant to give an account of recent developments in the theory of Plateau's problem for parametric minimal surfaces and surfaces of prescribed constant mean curvature ("H-surfaces") and its analytical framework. A comprehensive overview of the classical existence and regularity theory for disc-type minimal and H-surfaces is given and recent advances toward general structure theorems concerning the existence of multiple solutions are explored in full detail. The book focuses on the author's derivation of the Morse-inequalities and in particular the mountain-pass-lemma of Morse-Tompkins and Shiffman for minimal surfaces and the proof of the existence of large (unstable) H-surfaces (Rellich's conjecture) due to Brezis-Coron, Steffen, and the author. Many related results are covered as well. More than the geometric aspects of Plateau's problem (which have been exhaustively covered elsewhere), the author stresses the analytic side. The emphasis lies on the variational method. Originally published in 1989.
The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
