Stability Theorems in Geometry and Analysis
Publisher: Springer
Published: Dec 15, 2010
Format: paperback
Number of pages: 406
ISBN-13: 9789048144679
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.
Notes: Source title: Stability Theorems in Geometry and Analysis (Mathematics and Its Applications (304))