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math.AP2017★ 1 cited
On the modified scattering of -d Hartree type fractional Schrödinger equations with Coulomb potential
Yonggeun Cho, Gyeongha Hwang, Changhun Yang
In this paper we study 3-d Hartree type fractional Schrödin-ger equations: \begin{equation} i\partial_{t}u-|\nabla|^αu = λ\left(|x|^{-γ} *| u|^{2} \right)u,\;\;1 < α< 2,\;\;0 < γ<…
math.AP2017
On the Neumann Problem of Hardy-Sobolev critical equations with the multiple singularities
Masato Hashizume, Chun-Hsiung Hsia, Gyeongha Hwang
Let and be bounded domain. We study the existence of positive solution of \begin{align*} \left\{ \begin{array}{l} -Δu + λu =…