Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics, Series Number 107)

Ghoussoub, N.

ISBN 10: 0521440254 / ISBN 13: 9780521440257

Published by Cambridge University Press, 1993

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Bibliographic Details

• Title: Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics, Series Number 107)
• Publisher: Cambridge University Press
• Publication Date: 1993
• Language: English
• ISBN 10: 0521440254
• ISBN 13: 9780521440257
• Binding: hardcover
• Condition: New
• Weight: 19 ounces

About this title

Synopsis

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.

Book Description

The calculus of variations is a method for finding stable solutions to optimization problems. To find unstable ones, Morse theory and min-max methods are more appropriate, despite difficulties in applying them universally. Professor Ghoussoub describes a new point of view that may help when dealing with such difficulties. Building upon min-max approach, he systematically develops a general theory and presents a whole new array of duality and perturbation methods. The the book reasonably self-contained. Consequently, it should be accessible to all mathematicians,economists and engineers working in nonlinear analysis or optimization.