| Degree Theory in Analysis and Applications Contributor(s): Fonseca, Irene (Author), Gangbo, Wilfrid (Author) |
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ISBN: 0198511965 ISBN-13: 9780198511960 Publisher: Clarendon Press OUR PRICE: $180.50 Product Type: Hardcover Published: December 1995 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus - Mathematics | Mathematical Analysis - Mathematics | Functional Analysis |
| Dewey: 515.724 |
| LCCN: 95032175 |
| Series: Oxford Lecture Series in Mathematics and Its Applications |
| Physical Information: 0.56" H x 6.14" W x 9.21" (1.07 lbs) 220 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |