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 On the orbital stability of inhomogeneous nonlinear Schr\"{o}dinger equations with singular potential Bull. Korean Math. Soc. 2019 Vol. 56, No. 6, 1601-1615 https://doi.org/10.4134/BKMS.b190029Published online August 6, 2019Printed November 30, 2019 Yonggeun Cho, Misung Lee Chonbuk National University; Chonbuk National University Abstract : We show the existence of ground state and orbital stability of standing waves of nonlinear Schr\"{o}dinger equations with singular linear potential and essentially mass-subcritical power type nonlinearity. For this purpose we establish the existence of ground state in $H^1$. We do not assume symmetry or monotonicity. We also consider local and global well-posedness of Strichartz solutions of energy-subcritical equations. We improve the range of inhomogeneous coefficient in \cite{guz, din} slightly in 3 dimensions. Keywords : inhomogeneous NLS, singular potential, ground state, orbital stability, well-posedness, Strichartz solution MSC numbers : 35Q40, 35Q55 Supported by : This work was supported by NRF-2018R1D1A3B07047782. Downloads: Full-text PDF   Full-text HTML