Bifurcation of Fredholm Maps II; The Dimension of the Set of Bifurcation Points

Mathematics – Differential Geometry

Scientific paper

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15 pages, corrected typos, minor changes; La Matematica e le sue Applicazioni N5(2010). To appear on TMNA

Scientific paper

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 of the problem along the trivial branch
of solutions.

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