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

Ghoussoub, N.

ISBN 10: 052107195X / ISBN 13: 9780521071956

Published by Cambridge University Press, 2008

About this Item

Describes a approach to critical point theory and presents a whole new array of duality and perturbation methods. Series: Cambridge Tracts in Mathematics. Num Pages: 280 pages, charts. BIC Classification: PBK; PBPH. Category: (P) Professional & Vocational. Dimension: 229 x 152 x 16. Weight in Grams: 420. . 2009. Reissue. paperback. . . . . Books ship from the US and Ireland.

Seller Inventory # V9780521071956

Bibliographic Details

• Title: Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics, Series Number 107)
• Publisher: Cambridge University Press
• Publication Date: 2008
• Language: English
• ISBN 10: 052107195X
• ISBN 13: 9780521071956
• Binding: Soft cover
• Condition: New

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.