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

Jacobo Pejsachowicz

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.

Keywords


Bifurcation; Fredholm maps; index bundle; elliptic BVP

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