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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Hlavní autor: Costa, David Goldstein
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Boston, MA : Birkhäuser Boston 2007.
Cham : Springer Nature
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Edition sous un autre format:• An Invitation to Variational Methods in Differential Equations, Texte imprimé, 9780817672027
• An invitation to variational methods in differential equations, David G. Costa, Boston, Birkhäuser, 2007, 1 vol. (XII-138 p.), 978-0-8176-4535-9
Obsah:
  • 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 ?.