Calculus of Variations and Geometric Measure Theory
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D. Mugnai - A. Pistoia

On the exact number of bifurcation branches in a square and in a cube

created by mugnai on 07 Nov 2007


Published Paper

Inserted: 7 nov 2007

Journal: Communications on Applied Nonlinear Analysis
Volume: 14
Number: 2
Pages: 79--100
Year: 2007


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


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