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Solution branches of a semilinear elliptic problem at corank-2 bifurcation points

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Abstract

Bifurcations of a semilinear elliptic problem on the unit square with the Dirichlet boundary conditions are studied at corank-2 bifurcation points. We show the existence of bifurcating solution branches and their parameterizations via a nonsingular enlarged problem.

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  1. Zhen Mei

    Present address: Department of Mathematics, Xi’an Jiaotong University, China

Authors and Affiliations

  1. Department of Mathematics, University of Marburg, W-3550, Marburg, Germany

    Zhen Mei

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  1. Zhen Mei
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Mei, Z. Solution branches of a semilinear elliptic problem at corank-2 bifurcation points. Manuscripta Math 75, 395–409 (1992). https://doi.org/10.1007/BF02567094

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  • DOI: https://doi.org/10.1007/BF02567094

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