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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; 4. Symmetry for the non-linear Poisson equation in RN; 5. Monotonicity of positive solutions in a bounded set O. 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.

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