The Maximum Principle

• Main Authors: Pucci, Patrizia (Author), Serrin, James (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2007.
• Series: Progress in Nonlinear Differential Equations and Their Applications ; 73
• Subjects: Mathematics.; Partial differential equations.; Potential theory (Mathematics).; Applied mathematics.; Engineering mathematics.; Potential Theory.; Partial Differential Equations.; Applications of Mathematics.

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 comp...

Table of 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.