5 citations · 9 across the 7 of their papers we have counts for
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Multi-Peak solutions to Chern-Simons-Schrödinger systems with non-radial potential
Jin Deng, Wei Long, Jianfu Yang
In this paper, we consider the existence of static solutions to the nonlinear Chern-Simons-Schrödinger system \begin{equation}\label{eqabstr} \left\{\begin{array}{ll} -ihD_0Ψ-h^2(D…
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} -…
Equations involving fractional Laplacian operator: Compactness and application
Shusen Yan, Jianfu Yang, Xiaohui Yu
In this paper, we consider the following problem involving fractional Laplacian operator: \begin{equation}\label{eq:0.1} (-Δ)^α u= |u|^{2^*_α-2-\varepsilon}u + λu\,\, {\rm in}\,\,…
Fractional Hardy-Sobolev elliptic problems
Jianfu Yang, Xiaohui Yu
In this paper, we study the following singular nonlinear elliptic problem \begin{equation}\label{eq:1} \left\{ \begin{array}{ll} \displaystyle (-Δ)^{\frac α2} u=λ|u|^{r-2}u+μ\frac{…