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arXiv · 1301.1458

On bifurcation for semilinear elliptic Dirichlet problems and the Morse-Smale index theorem

Alessandro Portaluri·Nils Waterstraat
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Abstract

We study bifurcation from a branch of trivial solutions of semilinear elliptic Dirichlet boundary value problems on star-shaped domains, where the bifurcation parameter is introduced by shrinking the domain. In the proof of our main theorem we obtain in addition a special case of an index theorem due to S. Smale.

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Alessandro Portaluri, Nils Waterstraat. 2013-06-28. On bifurcation for semilinear elliptic Dirichlet problems and the Morse-Smale index theorem. https://arxiv.org/abs/1301.1458

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