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arxiv: 1305.3078 · v1 · pith:LHPLLYDBnew · submitted 2013-05-14 · 🧮 math.AP · math.DG· math.FA

On bifurcation for semilinear elliptic Dirichlet problems on geodesic balls

Alessandro Portaluri , Nils Waterstraat This is my paper
classification 🧮 math.AP math.DGmath.FA
keywords bifurcationdirichletellipticgeodesicproblemssemilineartheoremaddition
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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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