An Introduction to Nonlinear Functional Analysis and Elliptic Problems

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.

Author: Antonio Ambrosetti, David Arcoya Álvarez
Publisher: Birkhauser
Published: 07/19/2011
Pages: 199
Binding Type: Hardcover
Weight: 1.05lbs
Size: 9.30h x 6.20w x 0.70d
ISBN: 9780817681135

About the Author
Both authors are leading experts in this area of mathematics. Antonio Ambrosetti has been at the very forefront of research in this field for forty years, and several of the major topics from Parts 1 and 2 of the book are drawn from his research.

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