Minimax Systems and Critical Point Theory

2009. Auflage 2009
ISBN: 978-0-8176-4805-3
Verlag: Birkhauser Boston

Buch, Englisch, 242 Seiten, Format (B × H): 155 mm x 234 mm, Gewicht: 1190 g

Many problems in science and engineering involve the solution of differential equations or systems. One of most successful methods of solving nonlinear equations is the determination of critical points of corresponding functionals. The study of critical points has grown rapidly in recent years and has led to new applications in other scientific disciplines. This monograph continues this theme and studies new results discovered since the author's preceding book entitled .

Written in a clear, sequential exposition, topics include semilinear problems, Fucik spectrum, multidimensional nonlinear wave equations, elliptic systems, and sandwich pairs, among others. With numerous examples and applications, this book explains the fundamental importance of minimax systems and describes how linking methods fit into the framework.

is accessible to graduate students with some background in functional analysis, and the new material makes this book a useful reference for researchers and mathematicians.

Review of the author's previous Birkhäuser work, :

Zielgruppe

Research

Autoren/Hrsg.

Schechter, Martin

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Operations Research Spieltheorie

Inhaltsverzeichnis

Critical Points of Functionals.- Minimax Systems.- Examples of Minimax Systems.- Ordinary Differential Equations.- The Method Using Flows.- Finding Linking Sets.- Sandwich Pairs.- Semilinear Problems.- Superlinear Problems.- Weak Linking.- Fu#x010D;#x00ED;k Spectrum: Resonance.- Rotationally Invariant Solutions.- Semilinear Wave Equations.- Type (II) Regions.- Weak Sandwich Pairs.- Multiple Solutions.- Second-Order Periodic Systems.