Degree Theory in Analysis and Applications
Irene Fonseca author Wilfrid Gangbo author
Format:Hardback
Publisher:Oxford University Press
Published:2nd Nov '95
Currently unavailable, and unfortunately no date known when it will be back
In this book we study the degree theory and some of its applications in analysis. It focuses on the recent developments of this theory for Sobolev functions, which distinguishes this book from the currently available literature. We begin with a thorough study of topological degree for continuous functions. The contents of the book include: degree theory for continuous functions, the multiplication theorem, Hopf`s theorem, Brower`s fixed point theorem, odd mappings, Jordan`s separation theorem. Following a brief review of measure theory and Sobolev functions and study local invertibility of Sobolev functions. These results are put to use in the study variational principles in nonlinear elasticity. The Leray-Schauder degree in infinite dimensional spaces is exploited to obtain fixed point theorems. We end the book by illustrating several applications of the degree in the theories of ordinary differential equations and partial differential equations.
The book brings together many results previously to be found only in journals. * Alsib Book Guide, vol.61, no.5, May 1996. *
...recommended both to graduate students, as well as to more specialized researchers. * SIAM Review, Vol. 39, no.3, September 1997 *
ISBN: 9780198511960
Dimensions: 240mm x 161mm x 18mm
Weight: 472g
220 pages