On the exact number of bifurcation branches from a multiple eigenvalue

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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.
24 pages

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Analysis of PDEs, 35B32; 35J20; 35J60

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http://salesiana.dossiersoluciones.com/handle/123456789/76229

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509013
 http://arxiv.org/abs/math/0509013

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arXiv