Almgren s Big Regularity Paper Q valued Functions Minimizing Dirichlet s Integral And The Regularit is popular PDF and ePub book, written by Vladimir Scheffer in 2000-06-30, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Almgren s Big Regularity Paper Q valued Functions Minimizing Dirichlet s Integral And The Regularit can be Read Online from any device for your convenience.
Almgren s Big Regularity Paper Q valued Functions Minimizing Dirichlet s Integral And The Regularit Book PDF Summary
Fred Almgren exploited the excess method for proving regularity theorems in the calculus of variations. His techniques yielded Hölder 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.
Detail Book of Almgren s Big Regularity Paper Q valued Functions Minimizing Dirichlet s Integral And The Regularit PDF
- Author : Vladimir Scheffer
- Release : 30 June 2000
- Publisher : World Scientific
- ISBN : 9789814494113
- Genre : Mathematics
- Total Page : 973 pages
- Language : English
- PDF File Size : 20,9 Mb
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