. A P ] 1 S ep 2 00 5 On the exact number of bifurcation branches from a multiple eigenvalue ∗
نویسنده
چکیده
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.
منابع مشابه
On the exact number of bifurcation branches in a square and in a cube
We study local bifurcation from an eigenvalue with multiplicity greater than one for a class of semilinear elliptic equations. In particular, we obtain the exact number of bifurcation branches of non trivial solutions at every eigenvalue of a square and at the second eigenvalue of a cube. We also compute the Morse index of the solutions in those branches.
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