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Degree Theory in Analysis and Applications

Degree Theory in Analysis and Applications

Hardcover

Series: Oxford Lecture Mathematics and Its Applications, Book 2

CalculusGeneral Mathematics

ISBN10: 0198511965
ISBN13: 9780198511960
Publisher: Clarendon Press
Published: Dec 14 1995
Pages: 220
Weight: 1.07
Height: 0.56 Width: 6.14 Depth: 9.21
Language: English
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.

Also from

Fonseca, Irene

Also in

Calculus