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Solution branches of a semilinear elliptic problem at corank-2 bifurcation points with Neumann boundary conditions*

Published online by Cambridge University Press:  14 November 2011

Mei Zhen
Mei Zhen
Affiliation:
Department of Mathematics, University of Marburg, 3550 Marburg/Lahn, Germany
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Synopsis

Solution branches of a semilinear elliptic problem with Neumann boundary conditions are studied at its corank-2 bifurcation points. It is shown that generally there are exactly four different nontrivial solution branches passing through a corank-2 bifurcation point. The bifurcating solution branches are parametrised via a nonsingular enlarged problem. Branch switching at bifurcation points is incorporated with a continuation method.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 123 , Issue 3 , 1993 , pp. 479 - 495
Copyright
Copyright © Royal Society of Edinburgh 1993

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