Persistence of the Thomas-Fermi approximation for ground states supported by the nonlinear confinement
classification
🌊 nlin.PS
math.AP
keywords
approximationconfinementnonlinearellipticestimatesfixed-pointgrounditerations
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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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