0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations

Buy Now

Regularity of Minimal Surfaces (Paperback, Softcover reprint of hardcover 2nd ed. 2010) Loot Price: R4,680
Discovery Miles 46 800
Regularity of Minimal Surfaces (Paperback, Softcover reprint of hardcover 2nd ed. 2010): Ulrich Dierkes

Regularity of Minimal Surfaces (Paperback, Softcover reprint of hardcover 2nd ed. 2010)

Ulrich Dierkes; Contributions by Albrecht Kuster; Stefan Hildebrandt, Anthony Tromba

Series: Grundlehren der mathematischen Wissenschaften, 340

 (sign in to rate)
Loot Price R4,680 Discovery Miles 46 800 | Repayment Terms: R439 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

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 have to be based on indirect reasoning using monotonicity formulas. This is followed by a long chapter discussing geometric properties of minimal and H-surfaces such as enclosure theorems and isoperimetric inequalities, leading to the discussion of obstacle problems and of Plateaus problem for H-surfaces in a Riemannian manifold. A natural generalization of the isoperimetric problem is the so-called thread problem, dealing with minimal surfaces whose boundary consists of a fixed arc of given length. Existence and regularity of solutions are discussed. The final chapter on branch points presents a new approach to the theorem that area minimizing solutions of Plateaus problem have no interior branch points.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Grundlehren der mathematischen Wissenschaften, 340
Release date: November 2012
First published: 2010
Authors: Ulrich Dierkes
Contributors: Albrecht Kuster
Authors: Stefan Hildebrandt • Anthony Tromba
Dimensions: 235 x 155 x 38mm (L x W x T)
Format: Paperback
Pages: 623
Edition: Softcover reprint of hardcover 2nd ed. 2010
ISBN-13: 978-3-642-26521-1
Categories: Books > Science & Mathematics > Physics > General
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations
Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
Books > Science & Mathematics > Mathematics > Applied mathematics > General
Promotions
LSN: 3-642-26521-9
Barcode: 9783642265211

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Differential Equations with…
Dennis Zill Paperback R1,342 R1,251 Discovery Miles 12 510
Differential Equations with…
Warren Wright, Dennis Zill Paperback  (1)
R1,394 R1,294 Discovery Miles 12 940
Differential Equations with Boundary…
Dennis Zill Paperback R1,364 R1,268 Discovery Miles 12 680
Partial Differential Equations
Osamu Sano Hardcover R2,836 Discovery Miles 28 360
Schaum's Outline of Differential…
Richard Bronson, Gabriel B Costa Paperback R510 Discovery Miles 5 100
Dissipative Lattice Dynamical Systems
Xiaoying Han, Peter Kloeden Hardcover R3,765 Discovery Miles 37 650
Hormander Operators
Marco Bramanti, Luca Brandolini Hardcover R5,407 Discovery Miles 54 070
Qualitative Theory Of Odes: An…
Henryk Zoladek, Raul Murillo Hardcover R2,707 Discovery Miles 27 070
Extremum Seeking through Delays and PDEs
Tiago Roux Oliveira, Miroslav Krstic Hardcover R3,485 R3,257 Discovery Miles 32 570
Nonlinear Functional Analysis and…
Jesus Garcia-Falset, Khalid Latrach Hardcover R5,407 Discovery Miles 54 070
Boundary Elements and other Mesh…
A. H.-D. Cheng, S. Syngellakis Hardcover R3,541 Discovery Miles 35 410
Cross Diffusion Systems - Dynamics…
Dung Le Hardcover R4,847 Discovery Miles 48 470

See more

Partners