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arxiv: 0905.3897 · v2 · pith:YPQGDPXPnew · submitted 2009-05-24 · 🧮 math.CA · math.FA

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

classification 🧮 math.CA math.FA
keywords familyfunctionalsmanifoldbifurcatebifurcationbranchcompactcondition
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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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