ENGLISH

Stability Theorems in Geometry and Analysis

By Yu. G. Reshetnyak (auth.)

Book information

Publisher
Springer Netherlands
Year
1994
ISBN
978-90-481-4467-9, 978-94-015-8360-2
DOI
10.1007/978-94-015-8360-2
Language
english
Format
PDF
Filesize
10 MB (10241444 bytes)
Series
Mathematics and Its Applications 304
Edition
1
Pages
394\405
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Integral TransformsLie GroupsOperational Calculus; Integral Equations; Geometry

Description

This is one of the first monographs to deal with the metric theory of spatial mappings and incorporates results in the theory of quasi-conformal, quasi-isometric and other mappings. The main subject is the study of the stability problem in Liouville's theorem on conformal mappings in space, which is representative of a number of problems on stability for transformation classes. To enable this investigation a wide range of mathematical tools has been developed which incorporate the calculus of variation, estimates for differential operators like Korn inequalities, properties of functions with bounded mean oscillation, etc. Results obtained by others researching similar topics are mentioned, and a survey is given of publications treating relevant questions or involving the technique proposed. This volume will be of great value to graduate students and researchers interested in geometric function theory.

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