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 of the problem along the trivial branch of solutions.

arXiv comment15 pages, corrected typos, minor changes; La Matematica e le sue Applicazioni N5(2010). To appear on TMNA

References in corpus (1)

• Bifurcation of Fredholm Maps I; The Index Bundle and Bifurcation

Cited by in corpus (1)

• Evans function, parity and nonautonomous bifurcations