Geodesic
An estimate on the eigenvalues in bifurcation for gradient mappings
Glasgow mathematical journal, Tome 39 (1997) no. 2, pp. 211-216

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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 problemRecall 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). 
Chiappinelli, Raffaele. An estimate on the eigenvalues in bifurcation for gradient mappings. Glasgow mathematical journal, Tome 39 (1997) no. 2, pp. 211-216. doi: 10.1017/S0017089500032080
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