Regularity theory for quasilinear elliptic systems and Monge-Ampere equations in two dimensions. Lecture notes in mathematics ; 1445

Schulz, Friedmar,

ISBN 10: 3540531033 / ISBN 13: 9783540531036

Editore: Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona : Springer, 1990

Riguardo questo articolo

XV, 123 pages Ex-Library book in good condition. 9783540531036 Sprache: Englisch Gewicht in Gramm: 330.

Codice articolo 1162085

Dati bibliografici

• Titolo: Regularity theory for quasilinear elliptic systems and Monge-Ampere equations in two dimensions. Lecture notes in mathematics ; 1445
• Editore: Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona : Springer
• Data di pubblicazione: 1990
• Lingua: Inglese
• ISBN 10: 3540531033
• ISBN 13: 9783540531036
• Rilegatura: Brossura
• Peso: 330 grammi
• Cataloghi dei venditori:
  • AA Varia

Descrizione articolo

Riassunto

These lecture notes have been written as an introduction to the characteristic theory for two-dimensional Monge-Ampère equations, a theory largely developed by H. Lewy and E. Heinz which has never been presented in book form. An exposition of the Heinz-Lewy theory requires auxiliary material which can be found in various monographs, but which is presented here, in part because the focus is different, and also because these notes have an introductory character. Self-contained introductions to the regularity theory of elliptic systems, the theory of pseudoanalytic functions and the theory of conformal mappings are included. These notes grew out of a seminar given at the University of Kentucky in the fall of 1988 and are intended for graduate students and researchers interested in this area.

Contenuti

Integral criteria for Hölder continuity.- Regularity for linear elliptic equations and quasilinear systems.- Regularity for Monge—Ampère equations.- Function theory of elliptic equations.- Univalent solutions of binary elliptic systems.- Conformal mappings with respect to a Riemannian metric.- Local behavior of solutions of differential inequalities.- Univalent solutions of Heinz-Lewy type systems.- A priori estimates for Monge—Ampère equations.- Regularity and a priori estimates for locally convex surfaces.