Overview
- The only 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Progress in Nonlinear Differential Equations and Their Applications (PNLDE, volume 73)
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Table of contents(8 chapters)
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.
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Authors and Affiliations
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Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Perugia, Italy
Patrizia Pucci
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Department of Mathematics, University of Minnesota, Minneapolis, USA
James Serrin
Bibliographic Information
Book Title: The Maximum Principle
Authors: Patrizia Pucci, James Serrin
Series Title: Progress in Nonlinear Differential Equations and Their Applications
DOI: https://doi.org/10.1007/978-3-7643-8145-5
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2007
Hardcover ISBN: 978-3-7643-8144-8
eBook ISBN: 978-3-7643-8145-5
Series ISSN: 1421-1750
Series E-ISSN: 2374-0280
Edition Number: 1
Number of Pages: X, 236
Topics: Potential Theory, Partial Differential Equations, Applications of Mathematics