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

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

2010-08-23

arxiv.org/abs/1008.3871v2

Mathematics

Analysis of PDEs

Scientific paper

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.

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