Regularity Theory for Quasilinear Elliptic Systems and Monge - Ampere Equations in Two Dimensions

Front Cover
Springer Berlin Heidelberg, Oct 24, 1990 - Mathematics - 130 pages
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.

From inside the book

What people are saying - Write a review

We haven't found any reviews in the usual places.


Regularity for linear elliptic equations and quasilinear systems
Regularity for MongeAmpère equations
Function theory of elliptic equations

23 other sections not shown

Other editions - View all

Common terms and phrases

Bibliographic information