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In the present article we study the radial symmetry of minimizers of theenergy functional, corresponding to the repulsive Hartree equation in externalCoulomb potential. To overcome the difficulties, resulting from the "bad" signof the nonlocal term, we modify the reflection method and then, by usingPohozaev integral identities we get the symmetry result.

Symmetry and uniqueness of minimizers of Hartree type equations with external Coulomb potential