Bifurcation for some non-FrΓ©chet differe
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C.A. Stuart
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Article
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2008
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Elsevier Science
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English
β 297 KB
We study the bifurcation points of an equation of the form F(u) = Ξ»u in a real Hilbert space. Since F is only required to be Hadamard, but not FrΓ©chet, 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