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arXiv:0905.3897 [math.CA]AbstractReferencesReviewsResources

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

Alessandro Portaluri

Published 2009-05-24, updated 2013-07-24Version 2

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.

Comments: 7 pages. No figures. Latex2e
Journal: J. Math. Anal. Appl. 377 (2011), no. 2, 762--770
Categories: math.CA, math.FA
Subjects: 37G25, 55N15, 58E07
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