| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 843562 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 14 Pages |
Abstract
We study the bifurcation points of an equation of the form F(u)=λuF(u)=λu in a real Hilbert space. Since FF is only required to be Hadamard, but not Fréchet, differentiable at u=0u=0, bifurcation points need not belong to the spectrum of F′(0)F′(0). The abstract results are illustrated in the case of a nonlinear Schrödinger equation.
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Authors
C.A. Stuart,