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Notes on the Stationary p-Laplace Equation

  • Peter Lindqvist

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Peter Lindqvist
    Pages 1-5
  3. Peter Lindqvist
    Pages 7-16
  4. Peter Lindqvist
    Pages 17-28
  5. Peter Lindqvist
    Pages 29-36
  6. Peter Lindqvist
    Pages 37-54
  7. Peter Lindqvist
    Pages 55-63
  8. Peter Lindqvist
    Pages 65-67
  9. Peter Lindqvist
    Pages 69-75
  10. Peter Lindqvist
    Pages 77-85
  11. Peter Lindqvist
    Pages 87-93
  12. Peter Lindqvist
    Pages 95-96
  13. Peter Lindqvist
    Pages 97-100
  14. Back Matter
    Pages 101-104

About this book

Introduction

This book in the BCAM SpringerBriefs series is a treatise on the p-Laplace equation. It is based on lectures by the author that were originally delivered at the Summer School in Jyväskylä, Finland, in August 2005 and have since been updated and extended to cover various new topics, including viscosity solutions and asymptotic mean values. The p-Laplace equation is a far-reaching generalization of the ordinary Laplace equation, but it is non-linear and degenerate (p>2) or singular (p<2). Thus it requires advanced methods. Many fascinating properties of the Laplace equation are, in some modified version, extended to the p-Laplace equation. Nowadays the theory is almost complete, although some challenging problems remain open.


Keywords

Mathematics Partial Differential Equations Elliptic Equations p-Laplace Equation Equations of the second order

Authors and affiliations

  • Peter Lindqvist
    • 1
  1. 1.Department of Mathematical SciencesNorwegian University of Science and TechnologyTrondheimNorway

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-14501-9
  • Copyright Information The Author(s), under exclusive license to Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-14500-2
  • Online ISBN 978-3-030-14501-9
  • Series Print ISSN 2191-8198
  • Series Online ISSN 2191-8201
  • Buy this book on publisher's site
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