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portada Degree Theory in Analysis and Applications
Type
Physical Book
Year
1995
Language
English
Pages
220
Format
Hardcover
ISBN
0198511965
ISBN13
9780198511960
Edition No.
1
Categories

Degree Theory in Analysis and Applications

Irene Fonseca; Wilfrid Gangbo (Author) · Clarendon Press · Hardcover

Degree Theory in Analysis and Applications - Irene Fonseca; Wilfrid Gangbo

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Synopsis "Degree Theory in Analysis and Applications "

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.

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