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An estimate on the eigenvalues in bifurcation for gradient mappings
Published online by Cambridge University Press: 18 May 2009
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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).
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- Copyright © Glasgow Mathematical Journal Trust 1997
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