Duality and Perturbation Methods in Critical Point Theory
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Overview
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.Synopsis
Describes a approach to critical point theory and presents a whole new array of duality and perturbation methods.
Editorials
From the Publisher
"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