L. E. Fraenkel

An Introduction to Maximum Principles and Symmetry in Elliptic Problems

• Broschiertes Buch

Produktbeschreibung

Advanced text, originally published in 2000, on differential equations, with plentiful supply of exercises all with detailed hints.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 352
• Erscheinungstermin: 1. November 2010
• Englisch
• Abmessung: 229mm x 152mm x 21mm
• Gewicht: 572g
• ISBN-13: 9780521172783
• ISBN-10: 0521172780
• Artikelnr.: 31386478

Inhaltsangabe

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.