Persistence of the Thomas-Fermi approximation for ground states supported by the nonlinear confinement

Abstract

We justify the Thomas--Fermi approximation for the elliptic problem with the repulsive nonlinear confinement used in the recent physical literature. The method is based on the resolvent estimates and the fixed-point iterations.

6 pages

References in corpus (1)

• The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit