We discuss recent results on the scattering/blow-up dichotomy below the ground state threshold for the focusing nonlinear Schrodinger equation with an inverse-square potential and a nonlinearity that is mass-supercritical and energy-subcritical.
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China Three Gorges Univ, Three Gorges Math Res Ctr, Yichang 443002, Hubei, Peoples R ChinaChina Three Gorges Univ, Three Gorges Math Res Ctr, Yichang 443002, Hubei, Peoples R China
Chen, Peng
Chen, Huimao
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China Three Gorges Univ, Coll Sci, Yichang 443002, Hubei, Peoples R ChinaChina Three Gorges Univ, Three Gorges Math Res Ctr, Yichang 443002, Hubei, Peoples R China
Chen, Huimao
Tang, Xianhua
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Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R ChinaChina Three Gorges Univ, Three Gorges Math Res Ctr, Yichang 443002, Hubei, Peoples R China
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Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, ItalyUniv Roma La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy
Moschini, Luisa
Tesei, Alberto
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Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, ItalyUniv Roma La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy