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An estimate on the eigenvalues in bifurcation for gradient mappings

Published online by Cambridge University Press:  18 May 2009

Raffaele Chiappinelli
Raffaele Chiappinelli
Affiliation:
Dipartimento di Matematica, Universitá di Siena, 53100 Siena (Italy), E-mail: chiappinelli@unisi.it
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Let H be a real Hilbert space and let A: H→H be a nonlinear operator such that A(0) = 0. We consider the eigenvalue problem

Recall that λ0 ε ℝ is said to be a bifurcation point for (1.1) if every neighbourhood of (λ0, 0) in ℝ × H contains solutions of (1.1).

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 39 , Issue 2 , May 1997 , pp. 211 - 216
Copyright
Copyright © Glasgow Mathematical Journal Trust 1997

References

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