Uniqueness and symmetry of minimizers of Hartree type equations with external Coulomb potential

DOI10.1515/ACV.2011.020zbMath1255.35023OpenAlexW2315124529MaRDI QIDQ3167328

Stefan Krömer, Bernhard Kawohl

Publication date: 2 November 2012

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/acv.2011.020

zbMATH Keywords

hidden convexitynonlocal elliptic PDE

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (4)

Paths to uniqueness of critical points and applications to partial differential equations ⋮ On the asymptotic decay of the Schrödinger-Newton ground state ⋮ Some uniqueness results in quasilinear subhomogeneous problems ⋮ On the Crystal Ground State in the Schrödinger--Poisson Model

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