Degree Theory in Analysis and Applications

Zusatztext ...recommended both to graduate students! as well as to more specialized researchers. Klappentext In recent years the need to extend the notion of degree to nonsmooth functions has been triggered by developments in nonlinear analysis and some of its applications. This new study relates several approaches to degree theory for continuous functions and incorporates newly obtained results for Sobolev functions. These results are put to use in the study of variational principles in nonlinear elasticity. Several applications of the degree are illustrated in the theories of ordinary and partial differential equations. Other topics include multiplication theorem, Hopf's theorem, Brower's fixed point theorem, odd mappings, and Jordan's separation theorem, all suitable for graduate courses in degree theory and application. Zusammenfassung This text examines degree theory and some of its applications in analysis. Topics described include: degree theory for continuous functions; the multiplication theorem; Hopf's theorem; Brower's fixed point theorem; odd mappings; and Jordan's separation theorem. Inhaltsverzeichnis 1: Degree theory for continuous functions 2: Degree theory in finite dimensional spaces 3: Some applications of the degree theory to Topology 4: Measure theory and Sobolev spaces 5: Properties of the degree for Sobolev functions 6: Local invertibility of Sobolev functions. Applications 7: Degree in infinite dimensional spaces References Index

Product details

• Authors: Irene Gangbo Fonesca, Gangbo Fonseca, Irene Fonseca, Irene (Professor of Mathematics Fonseca, Fonseca Irene, Wilfrid Gangbo, Gangbo Wilfrid
• Publisher: Oxford University Press
• Languages: English
• Product format: Hardback
• Released: 02.11.1995
• EAN: 9780198511960
• ISBN: 978-0-19-851196-0
• No. of pages: 220
• Series: Oxford Lecture Series in Mathematics and Its Applications; Oxford Lecture Series in Mathe; Oxford Lecture Series in Mathematics and Its Applications; Oxford Lecture Mathematics and
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; TECHNOLOGY & ENGINEERING / Mechanical, SCIENCE / Mechanics / Fluids, MATHEMATICS / Differential Equations / General, MATHEMATICS / Functional Analysis, SCIENCE / Mechanics / Solids, Mechanics of solids, Differential calculus & equations, Calculus of variations, Engineering: Mechanics of fluids, Engineering: Mechanics of solids, Differential calculus and equations, Flow, turbulence, rheology