Critical Point Theory and Its Applications

Martin Schechter

ISBN 10: 038732965X / ISBN 13: 9780387329659

Verlag: Springer US, Springer New York Jun 2006, 2006

Beschreibung

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 332 pp. Englisch.

Bestandsnummer des Verkäufers 9780387329659

Bibliografische Details

• Titel: Critical Point Theory and Its Applications
• Verlag: Springer US, Springer New York Jun 2006
• Erscheinungsjahr: 2006
• Sprache: Englisch
• ISBN-10: 038732965X
• ISBN-13: 9780387329659
• Einband: Buch
• Zustand: Neu
• Abmessungen: 241B x 160 H x 23 T Millimeter Breite: 241 mm, Höhe: 160 mm, Tiefe: 23 mm
• Gewicht: 664 Gramm

Über diesen Titel

Inhaltsangabe

This book presents some of the latest research in critical point theory, describing methods and presenting the newest applications. Coverage includes extrema, even valued functionals, weak and double linking, sign changing solutions, Morse inequalities, and cohomology groups. Applications described include Hamiltonian systems, Schrödinger equations and systems, jumping nonlinearities, elliptic equations and systems, superlinear problems and beam equations.

Von der hinteren Coverseite

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.