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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Bibliographic Details
Main Author: Costa, David G. author (author)
Format: eBook
Language:Inglés
Published: Boston, MA : Birkhäuser Boston 2007.
Edition:1st ed. 2007.
Subjects:
See on Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009456374906719
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 ?.