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Duality and Perturbation Methods in Critical Point Theory : Cambridge Tracts in Mathematics - Nassif Ghoussoub

Duality and Perturbation Methods in Critical Point Theory

Cambridge Tracts in Mathematics

By: Nassif Ghoussoub, B. Bollobas (Editor), W. Fulton (Editor), A. Katok (Editor), F. Kirwan (Editor)


Published: 24th September 1993
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Building on min-max methods, Professor Ghoussoub systematically develops a general theory that can be applied in a variety of situations. In so doing he also presents a whole new array of duality and perturbation methods. The prerequisites for following this book are relatively few; an appendix sketching certain methods in analysis makes the book self-contained.

"The excellent material presentation of this small book follows the tradition of the series." Jean Mawhin, SIAM Review "...I recommend Ghoussoub's book to anyone working on variational problems, in particular on LS-theory. The reader will find a systematic presentation and detailed exposition of useful techniques." T. Bartsch, Bulletin of the American Mathematical Society "...Each chapter ends with some historical notes and comments, which offer a very useful guide through the literature on the subjects mentioned." Maria Letizia Bertotti, Mathematical Reviews

Lipschitz and smooth perturbed minimization principles
Linear and plurisubharmonic perturbed minimization principles
The classical min-max theorem
A strong form of the min-max principle
Relaxed boundary conditions in the presence of a dual set
The critical set in the mountain pass theorem
Group actions and multiplicity of critical points
The Palais-Smale condition around a dual set - examples
Morse indices of min-max critical points - the non-degenerate case
Morse indices of min-max critical points - the degenerate case
Morse-type information on Palais-Smale sequences
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521440257
ISBN-10: 0521440254
Series: Cambridge Tracts in Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 280
Published: 24th September 1993
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 24.13 x 16.51  x 1.91
Weight (kg): 0.52