The nonlinear Schrödinger equations with combined nonlinearities of power - type and Hartree - type ∗

نویسندگان

  • Daoyuan Fang
  • Zheng Han
چکیده

This paper is devoted to a comprehensive study of the nonlinear Schrödinger equations with combined nonlinearities of the power-type and Hartree-type in any dimension n ≥ 3. With some structural conditions, a nearly whole picture of the interactions of these nonlinearities in the energy space is given. The method is based on the Morawetz estimates and perturbation principles.

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تاریخ انتشار 2008