An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs

This volume deals with the regularity theory for elliptic systems. We may find the origin of such a theory in two of the problems posed by David Hilbert in his celebrated lecture delivered during the International Congress of Mathematicians in 1900 in Paris: 19th problem: Are the solutions to regula...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Giaquinta, Mariano (Autor), Martinazzi, Luca (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2012.
Edición:2nd ed. 2012.
Colección:Lecture Notes (Scuola Normale Superiore),
Temas:
Differential equations.
Differential Equations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1 Harmonic functions
  • 2 Direct methods
  • 3 Hilbert space methods
  • 4 L2-regularity: the Caccioppoli inequality
  • 5 Schauder estimates
  • 6 Some real analysis
  • 7 Lp-theory
  • 8 The regularity problem in the scalar case
  • 9 Partial regularity in the vector-valued case
  • 10 Harmonic maps
  • 11 A survey of minimal graphs.

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