27 citations · 55 across the 13 of their papers we have counts for
13 papers
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…
Positive solutions to multi-critical Schrödinger equations
Ziyi Xu, Jianfu Yang
In this paper, we investigate the existence of multiple positive solutions to the following multi-critical Schrödinger equation \begin{equation} \label{p} \begin{cases} -Δu+λV(x)u=…
Positive solutions to multi-critical elliptic problems
Fanqing Liu, Jianfu Yang, Xiaohui Yu
In this paper, we investigate the existence of multiple solutions to the following multi-critical elliptic problem \begin{equation}\label{eq:0.1} \left\{\begin{aligned} -Δu & =λ|u|…
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} -…
Multiple nodal solutions of nonlinear Choquard equations
Zhihua Huang, Jianfu Yang, Weilin Yu
In this paper, we consider the existence of multiple nodal solutions of the nonlinear Choquard equation \begin{equation*} \ \ \ \ (P)\ \ \ \ \begin{cases} -Δu+u=(|x|^{-1}\ast|u|^p)…
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…
Weak solutions of semilinear elliptic equation involving Dirac mass
Huyuan Chen, Patricio Felmer, Jianfu Yang
In this paper, we study the following elliptic problem with Dirac mass \begin{equation}\label{eq 0.1} -Δu=Vu^p+k δ_0\quad {\rm in}\quad \mathbb{R}^N, \qquad \lim_{|x|\to+\infty}u(x…
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{…
Asymptotics of ground states for fractional Hénon systems
David G. Costa, Olímpio H. Miyagaki, Marco Squassina +1
We investigate the asymptotic behavior of positive ground states for Hénon type systems involving a fractional Laplacian on a bounded domain, when the powers of the nonlinearity ap…
Semilinear fractional elliptic equations with measures in unbounded domain
Huyuan Chen, Jianfu Yang
In this paper, we study the existence of nonnegative weak solutions to (E) in a general regular domain , which vanish in , where denot…