Mass splitting in the Thomas-Fermi-Dirac-von Weizs\"acker model with background potential

14 Jan 2020 Salazar Lorena Aguirre Alama Stan Bronsard Lia

We consider minimization problems of the Thomas-Fermi-Dirac-von Weizs\"{a}cker (TFDW) type, in which the Newtonian potential is perturbed by a background potential satisfying mild conditions and which ensures the existence of minimizers. We describe the structure of minimizing sequences for those variants, and obtain a more precise characterization of patterns in minimizing sequences for the TFDW functionals regularized by long-range perturbations...

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