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Uniqueness of ground states for nonlinear Hartree equations

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We consider ground states of nonlinear Hartree equations with trapping potentials V(x), which can be described equivalently by positive minimizers of L2-critical Hartree energy functional. It is known that ground… Click to show full abstract

We consider ground states of nonlinear Hartree equations with trapping potentials V(x), which can be described equivalently by positive minimizers of L2-critical Hartree energy functional. It is known that ground states exist if and only if the parameter a satisfies a

Keywords: hartree equations; ground; uniqueness ground; states nonlinear; ground states; nonlinear hartree

Journal Title: Journal of Mathematical Physics
Year Published: 2018

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