### Bifurcation of Fredholm maps II. The dimension of the set of bifurcation points

#### Abstract

We obtain an estimate for the covering dimension of the set

of bifurcation points for solutions of nonlinear elliptic

boundary value problems from the principal symbol of the linearization

along the trivial branch of solutions.

of bifurcation points for solutions of nonlinear elliptic

boundary value problems from the principal symbol of the linearization

along the trivial branch of solutions.

#### Keywords

Bifurcation; Fredholm maps; index bundle; elliptic BVP

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