Almgren's Big Regularity Paper, Q-valued Functions Minimizing Dirichlet's Integral And The Regularit - World Scientific Monograph Series In Mathematics 1 (Hardback)
  • Almgren's Big Regularity Paper, Q-valued Functions Minimizing Dirichlet's Integral And The Regularit - World Scientific Monograph Series In Mathematics 1 (Hardback)
zoom

Almgren's Big Regularity Paper, Q-valued Functions Minimizing Dirichlet's Integral And The Regularit - World Scientific Monograph Series In Mathematics 1 (Hardback)

(author), (author)
£120.00
Hardback 972 Pages / Published: 03/07/2000
  • We can order this

Usually dispatched within 4-6 weeks

  • This item has been added to your basket
Fred Almgren exploited the excess method for proving regularity theorems in the calculus of variations. His techniques yielded Hoelder continuous differentiability except for a small closed singular set. In the sixties and seventies Almgren refined and generalized his methods. Between 1974 and 1984 he wrote a 1,700-page proof that was his most ambitious development of his ground-breaking ideas. Originally, this monograph was available only as a three-volume work of limited circulation. The entire text is faithfully reproduced here.This book gives a complete proof of the interior regularity of an area-minimizing rectifiable current up to Hausdorff codimension 2. The argument uses the theory of Q-valued functions, which is developed in detail. For example, this work shows how first variation estimates from squash and squeeze deformations yield a monotonicity theorem for the normalized frequency of oscillation of a Q-valued function that minimizes a generalized Dirichlet integral. The principal features of the book include an extension theorem analogous to Kirszbraun's theorem and theorems on the approximation in mass of nearly flat mass-minimizing rectifiable currents by graphs and images of Lipschitz Q-valued functions.

Publisher: World Scientific Publishing Co Pte Ltd
ISBN: 9789810241087
Number of pages: 972
Weight: 1787 g
Dimensions: 234 x 156 x 54 mm

You may also be interested in...

Advanced Calculus Demystified
Added to basket
An Equation for Every Occasion
Added to basket
The Cartoon Guide to Calculus
Added to basket
Calculus for the Ambitious
Added to basket
Differential Equations for Dummies
Added to basket
Classical Mechanics
Added to basket
Schaum's Outline of Calculus
Added to basket
Limits, Limits Everywhere
Added to basket
Measurement
Added to basket
£14.95
Paperback
The Calculus Lifesaver
Added to basket
Schaum's Outline of Vector Analysis
Added to basket
A First Course in Real Analysis
Added to basket
Calculus
Added to basket
£41.99
Hardback

Reviews

Please sign in to write a review

Your review has been submitted successfully.