On bifurcation for semilinear elliptic Dirichlet problems on geodesic balls

Alessandro Portaluri; Nils Waterstraat

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arXiv · 1305.3078

On bifurcation for semilinear elliptic Dirichlet problems on geodesic balls

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 a geodesic ball, whose radius is used as the bifurcation parameter. 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. 2013-05-14. On bifurcation for semilinear elliptic Dirichlet problems on geodesic balls. https://arxiv.org/abs/1305.3078

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