Bifurcation for some non-Fréchet differe
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C.A. Stuart
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Article
📅
2008
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Elsevier Science
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English
⚖ 297 KB
We study the bifurcation points of an equation of the form F(u) = λu in a real Hilbert space. Since F is only required to be Hadamard, but not Fréchet, differentiable at u = 0, bifurcation points need not belong to the spectrum of F (0). The abstract results are illustrated in the case of a nonlinea