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

By Gueorguiev Simeonov V and Venkov G.

Abstract

In the present article we study the radial symmetry of minimizers of the energy functional, corresponding to the repulsive Hartree equation in external Coulomb potential. To overcome the difficulties, resulting from the "bad" sign of the nonlocal term, we modify the reflection method and then, by using Pohozaev integral identities we get the symmetry result

Year: 2011
DOI identifier: 10.1016/j.jde.2011.04.012
OAI identifier: oai:arpi.unipi.it:11568/151646
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