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  • © 1990

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

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1445)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XV
  2. Integral criteria for Hölder continuity

    • Friedmar Schulz
    Pages 1-14
  3. Function theory of elliptic equations

    • Friedmar Schulz
    Pages 39-52
  4. Back Matter

    Pages 115-123

About this book

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.

Keywords

  • Elliptic systems
  • Elliptische Systeme
  • Partial differential equations
  • Partielle Differentialgleichungen
  • Riemannian manifold
  • equation
  • function

Bibliographic Information

  • Book Title: Regularity Theory for Quasilinear Elliptic Systems and Monge - Ampere Equations in Two Dimensions

  • Authors: Friedmar Schulz

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0098277

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1990

  • Softcover ISBN: 978-3-540-53103-6Published: 24 October 1990

  • eBook ISBN: 978-3-540-46678-9Published: 08 December 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XVIII, 130

  • Topics: Differential Geometry, Analysis

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions