Book contents
- Frontmatter
- Contents
- Preface
- 0 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 Ω
- 4 Symmetry for the Non-linear Poisson Equation in ℝN
- 5 Monotonicity of Positive Solutions in a Bounded Set Ω
- Appendix A On the Newtonian Potential
- Appendix B Rudimentary Facts about Harmonic Functions and the Poisson Equation
- Appendix C Construction of the Primary Function of Siegel Type
- Appendix D On the Divergence Theorem and Related Matters
- Appendix E The Edge-Point Lemma
- Notes on Sources
- References
- Index
Appendix B - Rudimentary Facts about Harmonic Functions and the Poisson Equation
Published online by Cambridge University Press: 05 February 2010
- Frontmatter
- Contents
- Preface
- 0 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 Ω
- 4 Symmetry for the Non-linear Poisson Equation in ℝN
- 5 Monotonicity of Positive Solutions in a Bounded Set Ω
- Appendix A On the Newtonian Potential
- Appendix B Rudimentary Facts about Harmonic Functions and the Poisson Equation
- Appendix C Construction of the Primary Function of Siegel Type
- Appendix D On the Divergence Theorem and Related Matters
- Appendix E The Edge-Point Lemma
- Notes on Sources
- References
- Index
Summary
- Type
- Chapter
- Information
- Publisher: Cambridge University PressPrint publication year: 2000