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Bifurcation for some non-Fréchet differentiable problems

✍ Scribed by C.A. Stuart

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
297 KB
Volume
69
Category
Article
ISSN
0362-546X

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✦ Synopsis

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 nonlinear Schrödinger equation.

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