Functions of Least Gradient
Series: Monographs in Mathematics; 110;
- Publisher's listprice EUR 171.19
- Prospero’s price EUR 119.99
-
46 868 Ft (44 636 Ft + 5% VAT)
The price is estimated because at the time of ordering we do not know what conversion rates will apply to HUF / product currency when the book arrives. In case HUF is weaker, the price increases slightly, in case HUF is stronger, the price goes lower slightly.
- Discount 20% (cc. 9 374 Ft off)
- Discounted price 37 494 Ft (35 709 Ft + 5% VAT)
- Discount is valid until: 30 June 2026
Subcribe now and take benefit of a favourable price.
Subscribe
41 244 Ft
Availability
printed on demand
Why don't you give exact delivery time?
Delivery time is estimated on our previous experiences. We give estimations only, because we order from outside Hungary, and the delivery time mainly depends on how quickly the publisher supplies the book. Faster or slower deliveries both happen, but we do our best to supply as quickly as possible.
Product details:
- Edition number 2024
- Publisher Springer Nature Switzerland
- Date of Publication 23 May 2024
- Number of Volumes 1 pieces, Book
- ISBN 9783031518805
- Binding Hardback
- No. of pages428 pages
- Size 235x155 mm
- Language English
- Illustrations XXVIII, 428 p. 20 illus., 9 illus. in color. Illustrations, black & white 506
Categories
Long description:
This book is devoted to the least gradient problem and its variants. The least gradient problem concerns minimization of the total variation of a function with prescribed values on the boundary of a Lipschitz domain. It is the model problem for studying minimization problems involving functionals with linear growth. Functions which solve the least gradient problem for their own boundary data, which arise naturally in the study of minimal surfaces, are called functions of least gradient.
The main part of the book is dedicated to presenting the recent advances in this theory. Among others are presented an Euler–Lagrange characterization of least gradient functions, an anisotropic counterpart of the least gradient problem motivated by an inverse problem in medical imaging, and state-of-the-art results concerning existence, regularity, and structure of solutions. Moreover, the authors present a surprising connection between the least gradient problem and the Monge–Kantorovich optimal transport problem and some of its consequences, and discuss formulations of the least gradient problem in the nonlocal and metric settings. Each chapter is followed by a discussion section concerning other research directions, generalizations of presented results, and presentation of some open problems.
The book is intended as an introduction to the theory of least gradient functions and a reference tool for a general audience in analysis and PDEs. The readers are assumed to have a basic understanding of functional analysis and partial differential equations. Apart from this, the text is self-contained, and the book ends with five appendices on functions of bounded variation, geometric measure theory, convex analysis, optimal transport, and analysis in metric spaces.
MoreTable of Contents:
Least Gradient Problem and Minimal Surfaces.- Existence and Characterization of Weak Solutions.- Anisotropic Least Gradient Problem.- Duality Approach.- Existence of Solutions in the Trace Sense.- Uniqueness and Structure of Solutions.- Regularity of Solutions.
More
