The nonlinear Schr\"odinger equations with combined nonlinearities of power-type and Hartree
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nonlinearitiescombinedequationsnonlinearodingerpower-typeschrcomprehensive
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This paper is devoted to a comprehensive study of the nonlinear Schr\"odinger equations with combined nonlinearities of the power-type and Hartree-type in any dimension n\ge3. 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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