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Critical Point Theory and Its Applications

Name: Critical Point Theory and Its Applications
Brand: Springer-Verlag New York Inc.
SKU: 01381808
Price: 40641 HUF
Availability: InStock
Author: Wenming Zou
ISBN: 9780387329659

Wenming Zou

Martin Schechter

Language

English

Book Hardback

Libristo code: 01381808

Publishers Springer-Verlag New York Inc., June 2006

Since the birth of the calculus of variations, researchers have discovered that variational methods,... Full description

Libristo code: 01381808

271 b

40 641 Ft

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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.