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...
Guardat en:
| Autors principals: | , |
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| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Pisa :
Scuola Normale Superiore
[20..].
Cham : Springer Nature |
| Edició: | 2nd ed. 2012. |
| Col·lecció: | Lecture Notes (Scuola Normale Superiore)
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| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs, Mariano Giaquinta and Luca Martinazzi, 2da edizione, Pise, Ed. della Normale, 2012, 1 vol. (IX-366 p.), Appunti, 978-88-7642-442-7 |
Taula de continguts:
- 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