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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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| Auteur principal : | |
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| Format : | Livre |
| Langue : | anglais |
| Titre complet : | An Invitation to Variational Methods in Differential Equations / by David G. Costa. |
| Publié : |
Boston, MA :
Birkhäuser Boston
, [20..] Cham : Springer Nature |
| Accès en ligne : |
Accès Nantes Université
Accès direct soit depuis les campus via le réseau ou le wifi eduroam soit à distance avec un compte @etu.univ-nantes.fr ou @univ-nantes.fr |
| Note sur l'URL : | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex |
| Condition d'utilisation et de reproduction : | Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |
| Contenu : | 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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| Documents associés : | Autre format:
An invitation to variational methods in differential equations Autre format: An Invitation to Variational Methods in Differential Equations |
| Résumé : | 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) and partial differential equations (PDEs). Five simple problems in ODEs which illustrate existence of solutions from a variational point of view are introduced in the first chapter. These problems set the stage for the topics covered, including minimization, deformation results, the mountain-pass theorem, the saddle-point theorem, critical points under constraints, a duality principle, critical points in the presence of symmetry, and problems with lack of compactness. Each topic is presented in a straightforward manner, and followed by one or two illustrative applications. The concise, straightforward, user-friendly approach of this textbook will appeal to graduate students and researchers interested in differential equations, analysis, and functional analysis. |
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| ISBN : | 978-0-8176-4536-6 |
| DOI : | 10.1007/978-0-8176-4536-6 |