Duality and Perturbation Methods in Critical Point Theory

Duality and Perturbation Methods in Critical Point Theory
Author :
Publisher : Cambridge University Press
Total Pages : 358
Release :
ISBN-10 : 0521440254
ISBN-13 : 9780521440257
Rating : 4/5 (54 Downloads)

Book Synopsis Duality and Perturbation Methods in Critical Point Theory by : Nassif Ghoussoub

Download or read book Duality and Perturbation Methods in Critical Point Theory written by Nassif Ghoussoub and published by Cambridge University Press. This book was released on 1993-08-19 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Duality and Perturbation Methods in Critical Point Theory Related Books

Duality and Perturbation Methods in Critical Point Theory
Language: en
Pages: 358
Authors: Nassif Ghoussoub
Categories: Mathematics
Type: BOOK - Published: 1993-08-19 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

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 soluti
Critical Point Theory
Language: en
Pages: 347
Authors: Martin Schechter
Categories: Mathematics
Type: BOOK - Published: 2020-05-30 - Publisher: Springer Nature

DOWNLOAD EBOOK

This monograph collects cutting-edge results and techniques for solving nonlinear partial differential equations using critical points. Including many of the au
Topics in Critical Point Theory
Language: en
Pages: 171
Authors: Kanishka Perera
Categories: Mathematics
Type: BOOK - Published: 2013 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Provides an introduction to critical point theory and shows how it solves many difficult problems.
Minimax Systems and Critical Point Theory
Language: en
Pages: 239
Authors: Martin Schechter
Categories: Mathematics
Type: BOOK - Published: 2009-05-28 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This text starts at the foundations of the field, and is accessible with some background in functional analysis. As such, the book is ideal for classroom of sel
Canadian Journal of Mathematics
Language: en
Pages: 224
Authors:
Categories:
Type: BOOK - Published: 1995 - Publisher:

DOWNLOAD EBOOK