An Invitation to Variational Methods in Differential Equations

An Invitation to Variational Methods in Differential Equations by David G. Costa.

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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Bibliographic Details
Main Author: Costa, David G. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2007.
Edition:1st ed. 2007.
Series:Springer eBook Collection.
Subjects:
Differential equations.
Calculus of variations.
Partial differential equations.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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 ?.

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