An Invitation to Variational Methods in 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)...
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| Language: | English |
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Boston, MA :
Birkhäuser Boston : Imprint: Birkhäuser,
2007.
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| Edition: | 1st ed. 2007. |
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| Online Access: | https://doi.org/10.1007/978-0-8176-4536-6 |
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 ?.