Topics In Critical Point Theory
Download Topics In Critical Point Theory PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Topics In Critical Point Theory book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Topics in Critical Point Theory
Author: Kanishka Perera
language: en
Publisher: Cambridge University Press
Release Date: 2013
Provides an introduction to critical point theory and shows how it solves many difficult problems.
Topics in Critical Point Theory
Provides an introduction to critical point theory and shows how it solves many difficult problems.
Duality and Perturbation Methods in Critical Point Theory
Author: Nassif Ghoussoub
language: en
Publisher: Cambridge University Press
Release Date: 1993-08-19
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.