Global solution curves for semilinear elliptic equations

This book provides an introduction to the bifurcation theory approach to global solution curves and studies the exact multiplicity of solutions for semilinear Dirichlet problems, aiming to obtain a complete understanding of the solution set. This understanding opens the way to efficient computation...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Korman, Philip
Format: E-Book Buch
Sprache:Englisch
Veröffentlicht: Singapore World Scientific Publishing Co. Pte. Ltd 2012
World Scientific
World Scientific Publishing Company
WORLD SCIENTIFIC
World Scientific Publishing
Ausgabe:1
Schlagworte:
Bifurcation theory
Curves, Elliptic
Differential equations, Elliptic
Dirichlet problem
Elliptic functions
Mathematical analysis
Numerical & Computational Mathematics
Pure Mathematics
Exact Multiplicity
Global Solution Curves
ISBN:9814374342, 9789814374347
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:This book provides an introduction to the bifurcation theory approach to global solution curves and studies the exact multiplicity of solutions for semilinear Dirichlet problems, aiming to obtain a complete understanding of the solution set. This understanding opens the way to efficient computation of all solutions. Detailed results are obtained in case of circular domains, and some results for general domains are also presented.
Bibliographie:Includes bibliographical references
ISBN:9814374342
9789814374347
DOI:10.1142/8308