The Monge-Ampère Equation

Now in its second edition, this monograph explores the Monge-Ampère equation and the latest advances in its study and applications. It provides an essentially self-contained systematic exposition of the theory of weak solutions, including regularity results by L. A. Caffarelli. The geometric aspect...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Gutiérrez, Cristian E. (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Édition:2nd ed. 2016.
Collection:Progress in Nonlinear Differential Equations and Their Applications, 89
Sujets:
Differential equations.
Geometry, Differential.
Mathematical physics.
Differential Equations.
Differential Geometry.
Mathematical Physics.
Accès en ligne:Texto Completo
Table des matières:
  • Generalized Solutions to Monge-Ampère Equations
  • Uniformly Elliptic Equations in Nondivergence Form
  • The Cross-sections of Monge-Ampère
  • Convex Solutions of detDu=1 in R<i>n
  • Regularity Theory for the Monge-Ampère Equation
  • W^2,p Estimates for the Monge-Ampère Equation
  • The Linearized Monge-Ampère Equation
  • Interior Hölder Estimates for Second Derivatives
  • References
  • Index.

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