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arXiv · 1407.8043

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

Boris A. Malomed·Dmitry E. Pelinovsky
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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.

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Boris A. Malomed, Dmitry E. Pelinovsky. 2014-07-30. Persistence of the Thomas-Fermi approximation for ground states supported by the nonlinear confinement. https://arxiv.org/abs/1407.8043

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