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Elliptic Partial Differential Equations of Second Order

  • David Gilbarg
  • Neil S. Trudinger

Part of the Classics in Mathematics book series (volume 224)

Table of contents

  1. Front Matter
    Pages N1-xiii
  2. Introduction

    1. David Gilbarg, Neil S. Trudinger
      Pages 1-10
  3. Linear Equations

    1. Front Matter
      Pages 11-11
    2. David Gilbarg, Neil S. Trudinger
      Pages 13-30
    3. David Gilbarg, Neil S. Trudinger
      Pages 31-50
    4. David Gilbarg, Neil S. Trudinger
      Pages 51-72
    5. David Gilbarg, Neil S. Trudinger
      Pages 73-86
    6. David Gilbarg, Neil S. Trudinger
      Pages 87-143
    7. David Gilbarg, Neil S. Trudinger
      Pages 144-176
    8. David Gilbarg, Neil S. Trudinger
      Pages 177-218
    9. David Gilbarg, Neil S. Trudinger
      Pages 219-257
  4. Quasilinear Equations

    1. Front Matter
      Pages N3-N3
    2. David Gilbarg, Neil S. Trudinger
      Pages 259-278
    3. David Gilbarg, Neil S. Trudinger
      Pages 279-293
    4. David Gilbarg, Neil S. Trudinger
      Pages 294-318
    5. David Gilbarg, Neil S. Trudinger
      Pages 319-332
    6. David Gilbarg, Neil S. Trudinger
      Pages 333-358
    7. David Gilbarg, Neil S. Trudinger
      Pages 359-387
    8. David Gilbarg, Neil S. Trudinger
      Pages 388-440
    9. David Gilbarg, Neil S. Trudinger
      Pages 441-490
  5. Back Matter
    Pages 492-523

About this book

Introduction

From the reviews:
"This is a book of interest to any having to work with differential equations, either as a reference or as a book to learn from. The authors have taken trouble to make the treatment self-contained. It (is) suitable required reading for a PhD student. Although the material has been developed from lectures at Stanford, it has developed into an almost systematic coverage that is much longer than could be covered in a year's lectures". Newsletter, New Zealand Mathematical Society, 1985
"Primarily addressed to graduate students this elegant book is accessible and useful to a broad spectrum of applied mathematicians". Revue Roumaine de Mathématiques Pures et Appliquées,1985

Keywords

2000 25Gxx 35Jxx Classification Elliptic PDE Mathematical Mathematical Subject Classification 2000 Subject YellowSale2006 nonlinear analysis differential equation Interpolation maximum principle partial differential equation Sobolev space

Authors and affiliations

  • David Gilbarg
    • 1
  • Neil S. Trudinger
    • 2
  1. 1.Department of MathematicsStanford UniversityStanfordUSA
  2. 2.School of Mathematical SciencesThe Australian National UniversityCanberraAustralia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-61798-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 2001
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-41160-4
  • Online ISBN 978-3-642-61798-0
  • Series Print ISSN 0072-7830
  • Buy this book on publisher's site