A Course in the Calculus of Variations Optimization, Regularity, and Modeling /

This book provides an introduction to the broad topic of the calculus of variations. It addresses the most natural questions on variational problems and the mathematical complexities they present. Beginning with the scientific modeling that motivates the subject, the book then tackles mathematical q...

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Autore principale: Santambrogio, Filippo (Autore)
Ente Autore: SpringerLink (Online service)
Natura: Elettronico eBook
Lingua:inglese
Pubblicazione: Cham : Springer International Publishing : Imprint: Springer, 2023.
Edizione:1st ed. 2023.
Serie:Universitext,
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Accesso online:https://doi.org/10.1007/978-3-031-45036-5
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Sommario:
  • 1 One-dimensional variational problems
  • 2 Multi-dimensional variational problems
  • 3 Lower semicontinuity
  • 4 Convexity and its applications
  • 5 Hölder regularity
  • 6 Variational problems for sets
  • 7 Γ-convergence: theory and examples.