Titel: An Introduction to Nonlinear Functional Analysis and Elliptic Problems (Progress in Nonlinear Differential Equations and Their Applications, 82)
Verlag: Birkh�user
Ver�ffentlichungsdatum: 2011
Sprache: Englisch
ISBN-10: 0817681132
ISBN-13: 9780817681135
Bindung: Hardcover
Zustand: New

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Inhaltsangabe

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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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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