On the topology of eigenfields

Authors

  • Vladimir I. Arnold

Keywords

Eigenvlue, Laplace operator, Betti numbers, variational principle, quadratic functionals, oscillating domains, nodes

Abstract

Topological properties of the eigenfields dependence on the eigenvalue position is discussed for the cases, where the variety of the eigenfield vanishing does not divide the oscillating domain into pieces.

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Published

2005-09-01

How to Cite

1.
ARNOLD, Vladimir I. On the topology of eigenfields. Topological Methods in Nonlinear Analysis. Online. 1 September 2005. Vol. 26, no. 1, pp. 9 - 16. [Accessed 6 July 2025].

Issue

Vol 26, No 1 (September 2005)

Section

Articles

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