Progress in Nonlinear Differential Equations and Their Applications

The Maximum Principle

Authors: Pucci, Patrizia, Serrin, J. B.

  • The first book containing a detailed description of modern work on the maximum principle for nonlinear elliptic differential equations
  • Contains applications to the celebrated symmetry question, to elliptic dead core phenomena, uniqueness theorems, the Harnack inequality and the compact support principle
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eBook $69.99
price for USA (gross)
  • ISBN 978-3-7643-8145-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
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  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-3-7643-8144-8
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About this book

Maximum principles are bedrock results in the theory of second order elliptic equations. This principle, simple enough in essence, lends itself to a quite remarkable number of subtle uses when combined appropriately with other notions. Intended for a wide audience, the book provides a clear and comprehensive explanation of the various maximum principles available in elliptic theory, from their beginning for linear equations to recent work on nonlinear and singular equations.

Reviews

Aus den Rezensionen: “Das Maximumprinzip ist das stärkste Hilfsmittel, um Eindeutigkeit und stetige Abhängigkeit der Lösungen skalarer elliptischer und parabolischer Differentialgleichungen 2. Ordnung zu beweisen. ... In der Tat geht das Buch von Pucci-Serrin das Thema von Neuem an: Schwache Lösungen und Sobolewräume werden verwendet … Ohne Übertreibung kann das Buch als Juwel in der Reihe ‘Progress in Nonlinear Differential Equations and Their Applications‘ bezeichnet werden ...“ (N.Ortner, in: IMN Internationale Mathematische Nachrichten, April/2010, Issue 213, S. 55)

Table of contents (8 chapters)

  • Introduction and Preliminaries

    Pages 1-11

  • Tangency and Comparison Theorems for Elliptic Inequalities

    Pages 13-49

  • Maximum Principles for Divergence Structure Elliptic Differential Inequalities

    Pages 51-82

  • Boundary Value Problems for Nonlinear Ordinary Differential Equations

    Pages 83-101

  • The Strong Maximum Principle and the Compact Support Principle

    Pages 103-126

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-7643-8145-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-3-7643-8144-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Maximum Principle
Authors
Series Title
Progress in Nonlinear Differential Equations and Their Applications
Series Volume
73
Copyright
2007
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-8145-5
DOI
10.1007/978-3-7643-8145-5
Hardcover ISBN
978-3-7643-8144-8
Series ISSN
1421-1750
Edition Number
1
Number of Pages
X, 236
Topics