An Introduction to Nonlinear Functional Analysis and Elliptic Problems
Book Details
Format
Hardback or Cased Book
ISBN-10
0817681132
ISBN-13
9780817681135
Publisher
Birkhauser Boston Inc
Imprint
Birkhauser Boston Inc
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jul 19th, 2011
Print length
199 Pages
Weight
454 grams
Dimensions
23.70 x 16.60 x 1.80 cms
Ksh 12,600.00
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This self-contained textbook provides the basic, abstract tools used in nonlinear analysis. The text discusses key results such as the Banach contraction principle, a fixed point theorem for increasing operators, local and global inversion theory, and more.
Notation.- Preliminaries.- Some Fixed Point Theorems.- Local and Global Inversion Theorems.- Leray-Schauder Topological Degree.- An Outline of Critical Points.- Bifurcation Theory.- Elliptic Problems and Functional Analysis.- Problems with A Priori Bounds.- Asymptotically Linear Problems.- Asymmetric Nonlinearities.- Superlinear Problems.- Quasilinear Problems.- Stationary States of Evolution Equations.- Appendix A Sobolev Spaces.- Exercises.- Index.- Bibliography.
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