Bifurcation solution branches and their numerical approximations of a semi-linear elliptic problem with two parameters

DOI10.1007/BF02677404zbMath0938.65105OpenAlexW2078807019MaRDI QIDQ1302261

Heyuan Wang, Ai-xiang Huang, Kai-Tai Li

Publication date: 28 June 2000

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02677404

zbMATH Keywords

numerical resultsbifurcationsemilinear elliptic problemcontinuation methodsbranching solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear ordinary differential operators (34L30) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Cites Work

• Bifurcation from simple eigenvalues
• The numerical treatment of non-trivial bifurcation points
• Branch switching at a corank-4 bifurcation point of semi-linear elliptic problems with symmetry

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