The Maximum Principle
Title:
The Maximum Principle
Author:
Pucci, Patrizia. author.
ISBN:
9783764381455
Personal Author:
Physical Description:
X, 236 p. online resource.
Series:
Progress in Nonlinear Differential Equations and Their Applications ; 73
Contents:
and Preliminaries -- Tangency and Comparison Theorems for Elliptic Inequalities -- Maximum Principles for Divergence Structure Elliptic Differential Inequalities -- Boundary Value Problems for Nonlinear Ordinary Differential Equations -- The Strong Maximum Principle and the Compact Support Principle -- Non-homogeneous Divergence Structure Inequalities -- The Harnack Inequality -- Applications.
Abstract:
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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Electronic Access:
http://dx.doi.org/10.1007/978-3-7643-8145-5