Inserted: 7 nov 2007
Journal: Communications on Applied Nonlinear Analysis
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.
Keywords: local bifurcation, multiple branches, multiple eigenvalue, Morse index