27 citations · 27 across the 5 of their papers we have counts for
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Existence and concentration of ground states to fractional Choquard equations
Jianfu Yang, Jinge Yang
In this paper, we study the nonlinear fractional Choquard equation \begin{equation}\label{eq:0.1a} (-Δ)^su+Vu=(|x|^{-γ}*|u|^2)u \quad {\rm in} \quad \mathbb{R}^N, \end{equation} wh…
Asymptotic behavior of ground state solutions to nonlinear elliptic problems with the fractional Laplacian
Jinge Yang, Jianfu Yang
In this paper, we consider the asymptotic behavior of the ground state solution of the nonlinear fractional Laplacian equation \begin{equation}\label{eq:0.1a} (-Δ)^su+Vu=|u|^…
On supercritical nonlinear Schrödinger equations with ellipse-shaped potentials
Jianfu Yang, Jinge Yang
In this paper, we study the existence and concentration of normalized solutions to the supercritical nonlinear Schrödinger equation \begin{equation*} \left\{ \begin{array}{l} -Δu +…
Normalized solutions and mass concentration for supercritical nonlinear Schrödinger equations
Jianfu Yang, Jinge Yang
In this paper, we deal with the existence and concentration of normalized solutions to the supercritical nonlinear Schrödinger equation \begin{equation*} \left\{ \begin{array}{l} -…
Existence and mass concentration of pseudo-relativistic Hartree equation
Jianfu Yang, Jinge Yang
In this paper, we investigate the constrained minimization problem \begin{equation}\label{eq:0.1} e(a):=\inf_{\{u\in \mathcal{H},\|u\|_2^2=1\}}E_a(u), \end{equation} where the ener…