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On the exact number of bifurcation branches from a multiple eigenvalue

Dimitri Mugnai·Angela Pistoia
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Abstract

We study local bifurcation from an eigenvalue with multiplicity greater than one for a class of semilinear elliptic equations. We evaluate the exact number of bifurcation branches of non trivial solutions and we compute the Morse index of the solutions in those branches.

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Dimitri Mugnai, Angela Pistoia. 2005-09-01. On the exact number of bifurcation branches from a multiple eigenvalue. https://arxiv.org/abs/math/0509013

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