ENGLISH

Critical Point Theory and Its Applications

By Martin Schechter , Wenming Zou

Book information

Publisher
LLC, Springer Science + Business Media
Year
2006
ISBN
038732965X, 9780387329680, 9780387329659, 0387329684
Open Library ID
OL7445456M
Language
english
Format
DJVU
Filesize
2 MB (2348055 bytes)
Edition
1
Pages
322\322
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11

Description

Since the birth of the calculus of variations, researchers have discovered that variational methods, when they apply, can obtain better results than most other methods. Moreover, they apply in a very large number of situations. It was realized many years ago that the solutions of a great number of problems are in effect critical points of functionals. Critical Point Theory and Its Applications presents some of the latest research in the area of critical point theory. Researchers have obtained many new results recently using this approach, and in most cases comparable results have not been obtained with other methods. This book describes the methods and presents the newest applications. The topics covered in the book include extrema, even valued functionals, weak and double linking, sign changing solutions, Morse inequalities, and cohomology groups. The applications described include Hamiltonian systems, Schrödinger equations and systems, jumping nonlinearities, elliptic equations and systems, superlinear problems and beam equations. Many minimax theorems are established without the use of the (PS) compactness condition.

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