An Invitation to Variational Methods in Differential Equations

• Main Author: Costa, David G. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2007.
• Subjects: Mathematics.; Differential equations.; Partial differential equations.; Calculus of variations.; Ordinary Differential Equations.; Calculus of Variations and Optimal Control; Optimization.; Partial Differential Equations.

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)...

Table of Contents:

• 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 ?.