This book is a short introductory text to variational techniques with applications to differential equations. It presents a sampling of topics in critical point theory with applications to existence and multiplicity of solutions in nonlinear problems involving ordinary differential equations (ODEs) and partial differential equations (PDEs). The concise, straightforward, user-friendly approach of this textbook will appeal to graduate students and researchers interested in differential equations, analysis, and functional analysis.
Rezensionen / Stimmen
From the reviews:"This book is intended to be an introduction to variational methods for ODEs and PDEs. . Overall, this is a well-written book on the variational methods . . The author clearly loves and knows the subject area and it is very good at providing an overview to the area . . As such, a good guided reading course for graduate students could be made from this book, covering one chapter per session (or two)." (David A. W. Barton, Dynamical Systems Magazine, April, 2008)"This little book consists of a very clear introduction to variational methods and their applications to ODEs and PDEs. . the bibliography contains basic items on the subject and also turns out to be very useful for further reading. In my opinion the book should be strongly recommended to anyone-graduate student or researcher-who is interested in variational methods and their applications to differential equations." (Salvatore A. Marano, Mathematical Reviews, Issue 2008 k)"The intention of the author is to provide a first introduction to variational methods in solving ODEs and PDEs for graduate students. The book is a concise collection of some fundamental aspects of this area . . It presents a nice and direct approach to these central topics and is written with great care and clarity. It can be warmly recommended to anyone wishing to enter this active area of research." (M. Kunzinger, Monatshefte für Mathematik, Vol. 156 (4), April, 2009)
Auflage
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Research
Illustrationen
9
9 s/w Abbildungen
XII, 138 p. 9 illus.
Maße
Höhe: 235 mm
Breite: 155 mm
Dicke: 9 mm
Gewicht
ISBN-13
978-0-8176-4535-9 (9780817645359)
DOI
10.1007/978-0-8176-4536-6
Schweitzer Klassifikation
Critical Points Via Minimization.- The Deformation Theorem.- The Mountain-Pass Theorem.- The Saddle-Point Theorem.- Critical Points under Constraints.- A Duality Principle.- Critical Points under Symmetries.- Problems with an S1-Symmetry.- Problems with Lack of Compactness.- Lack of Compactness for Bounded ?.
