SpringerBriefs in Mathematics

Notes on the Stationary p-Laplace Equation

Authors: Lindqvist, Peter

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  • Treatise on the p-Laplace equation
  • Coverage of a variety of topics
  • Discussion of open problems
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eBook 21,39 €
42,79 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-14501-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 25,99 €
51,99 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-14500-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
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About this book

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.


About the authors

Peter Lindqvist is Professor of Mathematics in the Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway. His research focus is analysis, including in particular partial differential equations and “non-linear potential theory”.

Reviews

“The book will provide the reader with an up-to-date overview on the p-Laplace equation and will uncover ideas behind some concepts and involved results in the field.” (Vladimir Bobkov, Mathematical Reviews, December, 2019)
“The book is a very useful contribution to the growing literature on this circle of ideas. I wholeheartedly recommend this book both as a textbook, as well as for independent study.” (Vicenţiu D. Rădulescu, zbMATH 1421.35002, 2019)


Table of contents (12 chapters)

Table of contents (12 chapters)
  • Introduction

    Pages 1-5

    Lindqvist, Peter

  • The Dirichlet Problem and Weak Solutions

    Pages 7-16

    Lindqvist, Peter

  • Regularity Theory

    Pages 17-28

    Lindqvist, Peter

  • Differentiability

    Pages 29-36

    Lindqvist, Peter

  • On p-Superharmonic Functions

    Pages 37-54

    Lindqvist, Peter

Buy this book

eBook 21,39 €
42,79 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-14501-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 25,99 €
51,99 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-14500-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Notes on the Stationary p-Laplace Equation
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-14501-9
DOI
10.1007/978-3-030-14501-9
Softcover ISBN
978-3-030-14500-2
Series ISSN
2191-8198
Edition Number
1
Number of Pages
XI, 104
Number of Illustrations
1 b/w illustrations, 1 illustrations in colour
Topics