An introduction to maximum principles and symmetry in elliptic problems [EBook] / L.E. Fraenkel.
An introduction to maximum principles and symmetry in elliptic problems [EBook] / L.E. Fraenkel.
Originally published in 2000, this was the first book to present the basic theory of the symmetry of solutions to secondorder elliptic partial differential equations by means of the maximum principle. It proceeds from elementary facts about the linear case to recent results about positive solutions...
Personal Name(s):  Fraenkel, L. E., (author) 

Imprint: 
Cambridge :
Cambridge University Press,
2000

Physical Description: 
1 online resource (x, 340 pages) 
Note: 
englisch 
ISBN: 
9780511569203 9780521172783 9780521461955 
Series Title: 
Cambridge tracts in mathematics ;
128 
Subject (LOC):  
Full Text 
Table of Contents:
 Some Notation, Terminology and Basic Calculus
 1. Introduction
 2. Some Maximum Principles for Elliptic Equations
 3. Symmetry for a Nonlinear Poisson Equation in a Symmetric Set [Omega]
 4. Symmetry for the Nonlinear Poisson Equation in R[superscript N]
 5. Monotonicity of Positive Solutions in a Bounded Set [Omega]
 App. A. On the Newtonian Potential
 App. B. Rudimentary Facts about Harmonic Functions and the Poisson Equation
 App. C. Construction of the Primary Function of Siegel Type
 App. D. On the Divergence Theorem and Related Matters
 App. E. The EdgePoint Lemma.