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Critical Point Theory and Its Applications by Wenming Zou; Martin Schechter; Ohio Library and Information Network is a nonfiction available to read on EtoBox.

What is Critical Point Theory and Its Applications about?

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.

Who reads Critical Point Theory and Its Applications?

Author

Wenming Zou; Martin Schechter; Ohio Library and Information Network

Publisher

Springer Science + Business Media, LLC

Published

2006

Language

EN

ISBN

9780387329659

Category

nonfiction

Subjects

Mathematics, Science, Stem