Critical Point Theory and Its Applications

Beschreibung:

Presents some of the research in critical point theory, describing methods and presenting applications. This book includes extrema, even valued functionals, weak and double linking, sign changing solutions, Morse inequalities, and cohomology groups. It describes applications including Hamiltonian systems, Schrodinger equations and systems. Num Pages: 330 pages, biography. BIC Classification: PBK. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 19. Weight in Grams: 642. . 2006. Hardback. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780387329659

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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.

Audience

This book is intended for advanced graduate students and researchers in mathematics studying the calculus of variations, differential equations and topological methods.