Duality and Perturbation Methods in Critical Point Theory (Paperback)

Language: English

Published by Cambridge University Press, Cambridge, 2008

052107195X / 9780521071956

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Paperback. The calculus of variations has been an active area of mathematics for over 300 years. Its main use is to find stable critical points of functions for the solution of problems. To find unstable values, new approaches (Morse theory and min-max methods) were developed, and these are still being refined to overcome difficulties when applied to the theory of partial differential equations. Here, Professor Ghoussoub describes a point of view that may help when dealing with such problems. Building upon min-max methods, he systematically develops a general theory that can be applied in a variety of situations. In so doing he also presents a whole 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 reasonably self-contained. Consequently, it should be accessible to all mathematicians, pure or applied, economists and engineers working in nonlinear analysis or optimization. Professor Ghoussoub describes a general approach to critical point theory. Building upon min-max methods, he also presents a whole array of duality and perturbation methods. The book is reasonably self-contained: consequently, it should be accessible to all mathematicians, economists and engineers working in nonlinear analysis or optimization. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

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Title
Duality and Perturbation Methods in Critical Point Theory (Paperback)
Author
N. Ghoussoub
Publisher
Cambridge University Press, Cambridge
Publication year
2008
Condition
new
Binding
Paperback
Language
English
ISBN 10
052107195X
ISBN 13
9780521071956

CitiRetail

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