The purpose of this paper is to study well-posedness of the initial value problem (IVP) for the
inhomogeneous nonlinear Schrödinger equation (INLS) iu t+ Δ u+ λ| x|− b| u| α u= 0, where …

In this paper, we consider a class of the focusing inhomogeneous nonlinear Schr\" odinger
equation\[i\partial_t u+\Delta u+| x|^{-b}| u|^\alpha u= 0,\quad u (0)= u_0\in H^ 1 (\mathbb …

The purpose of this work is to study the 3D focusing inhomogeneous nonlinear Schrödinger
equation iu t+ Δ u+| x|− b| u| 2 u= 0, where 0< b< 1/2. Let Q be the ground state solution of …

We study long time dynamics of nonradial solutions to the focusing inhomogeneous
nonlinear Schrödinger equation. By using the concentration/compactness and rigidity …

We consider the inhomogeneous nonlinear Schrödinger equation i u_t+ Δ u+| x|^-b| u|^ α u=
0,\quad x ∈ R^ N, iut+ Δ u+| x|-b| u| α u= 0, x∈ RN, where N ≥ 2 N≥ 2, 4-2b N< α< 4-2b N …

We adapt the argument of Dodson and Murphy [Proc. Amer. Math. Soc. 145 (2017), pp. 4859–
4867] to give a simple proof of scattering below the ground state for the intercritical …

Consider the focusing inhomogeneous nonlinear Schrödinger equation in $ H^ 1 (\mathbb
{R}^ N) $,\begin {equation} iu_t+\Delta u+| x|^{-b}| u|^{p-1} u= 0,\end {equation} when $ b> …

In this paper, we consider the following inhomogeneous nonlinear Schr\" odinger equation
(INLS)\[i\partial_t u+\Delta u+\mu| x|^{-b}| u|^\alpha u= 0,\quad (t, x)\in\mathbb …

In this paper, we consider a class of the defocusing inhomogeneous nonlinear Schrödinger
equation i ∂ _t u+\varDelta u-| x|^-b| u|^ α u= 0,\quad u (0)= u_0 ∈ H^ 1, i∂ tu+ Δ u-| x|-b| u …

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