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arxiv: 1803.05944 · v1 · pith:EFVROBIGnew · submitted 2018-03-15 · 🧮 math.AP

L² concentration of blow-up solutions for the mass-critical NLS with inverse-square potential

Abdelwahab Bensouilah This is my paper
classification 🧮 math.AP
keywords inverse-squarepotentialblow-upcompactnessconcentrationdingerequationestablish
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In this paper, we prove a refined version of a compactness lemma and we use it to establish mass-concentration for the focusing nonlinear Schr\"{o}dinger equation with an inverse-square potential.

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  1. Nonlinear Schr\"{o}dinger equations with critical Hardy potential and Choquard nonlinearity

    math.AP 2026-04 unverdicted novelty 5.0

    Existence of ground states, non-existence results, global/blow-up criteria, and minimal-mass blow-up characterization for NLS with critical Hardy potential and Choquard nonlinearity in the energy-subcritical regime.