The Maximum Principle

  • Patrizia Pucci
  • James Serrin

Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 73)

About this book

Introduction

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.

Keywords

Boundary value problem differential equation inequalities maximum maximum principle ordinary differential equation potential theory

Authors and affiliations

  • Patrizia Pucci
    • 1
  • James Serrin
    • 2
  1. 1.Dipartimento di Matematica e InformaticaUniversità degli Studi di PerugiaPerugiaItaly
  2. 2.Department of MathematicsUniversity of MinnesotaMinneapolisUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7643-8145-5
  • Copyright Information Birkhäuser Verlag AG 2007
  • Publisher Name Birkhäuser Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-7643-8144-8
  • Online ISBN 978-3-7643-8145-5
  • About this book