A $K$-theoretical invariant and bifurcation for a parameterized family of functionals

Details A $K$-theoretical invariant and bifurcation for a parameterized family of functionals A $K$-theoretical invariant and bifurcation for a parameterized family of functionals

2009-05-24

arxiv.org/abs/0905.3897v1

Mathematics

Classical Analysis and ODEs

7 pages. No figures. Latex2e

Scientific paper

For a family of functionals defined on a Hilbert manifold and smoothly
depending on a compact finite dimensional manifold, we give a sufficient
condition on the parameter space in such a way the family bifurcate from the
trivial branch.

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