An Introduction to Maximum Principles and Symmetry in Elliptic Problems

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.