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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Costa, David G. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2007.
Edición:1st ed. 2007.
Temas:
Differential equations.
Mathematical optimization.
Calculus of variations.
Differential Equations.
Calculus of Variations and Optimization.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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