Bifurcations from the endpoints of the essential spectrum in the linearized nonlinear Schrödinger problem Journal Articles uri icon

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abstract

  • We study bifurcations of eigenvalues from the endpoints of the essential spectrum in the linearized nonlinear Schrödinger problem in three dimensions. We show that a resonance and an eigenvalue of positive energy at the endpoint may bifurcate only to a real eigenvalue of positive energy, while an eigenvalue of negative energy at the endpoint may also bifurcate to complex eigenvalues.

publication date

  • May 1, 2005