Introduction to Maximum Principles and Symmetry in Elliptic Problems

Klappentext Advanced text, originally published in 2000, on differential equations, with plentiful supply of exercises all with detailed hints. Zusammenfassung The author of this 2000 volume proceeds from elementary facts about the linear case to recent results about positive solutions of non-linear elliptic equations! with minimal prerequisites in a style suited to graduate students. There is a plentiful supply of exercises! with detailed hints! some of which contain new results. Inhaltsverzeichnis 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.

Product details

• Authors: L. E. Fraenkel, L. E. (University of Bath) Fraenkel, L.e. Fraenkel, Fraenkel L. E.
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 14.04.2011
• EAN: 9780521172783
• ISBN: 978-0-521-17278-3
• No. of pages: 352
• Series: Cambridge Tracts in Mathematic; Cambridge Tracts in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Differential Equations / General, Differential calculus & equations, Differential calculus and equations