English

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

Classical Analysis and ODEs 2013-07-25 v2 Functional Analysis

Abstract

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.

Keywords

Cite

@article{arxiv.0905.3897,
  title  = {A $K$-theoretical invariant and bifurcation for a parameterized family of functionals},
  author = {Alessandro Portaluri},
  journal= {arXiv preprint arXiv:0905.3897},
  year   = {2013}
}

Comments

7 pages. No figures. Latex2e