Minimax Systems and Critical Point Theory

• Main Author: Schechter, Martin. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Boston : Birkhũser Boston, 2009.
• Subjects: Mathematics.; Functional analysis.; Differential Equations.; Differential equations, partial.; Ordinary Differential Equations.; Partial Differential Equations.; Functional Analysis.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-8176-4902-9

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 h...

Table of Contents:

• Preface
• 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.-Resonance Problems
• Rotationally Invariant Solutions
• Semilinear Wave Equations.-Type (II) Regions
• Weak Sandwich Pairs
• Multiple Solutions
• Second Order Periodic Systems
• Bibliography.