An introduction to maximum principles and symmetry in elliptic problems [E-Book] / L.E. Fraenkel.
Fraenkel, L. E., (author)
Cambridge : Cambridge University Press, 2000
1 online resource (x, 340 pages)
englisch
9780511569203
9780521172783
9780521461955
Cambridge tracts in mathematics ; 128
Full Text
Table of Contents:
  • Some Notation, Terminology and Basic Calculus
  • 1. Introduction
  • 2. Some Maximum Principles for Elliptic Equations
  • 3. Symmetry for a Non-linear Poisson Equation in a Symmetric Set [Omega]
  • 4. Symmetry for the Non-linear 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 Edge-Point Lemma.