3 citations · 4 across the 6 of their papers we have counts for
6 papers
Normalized solutions of linearly coupled Choquard system with potentials
Li Meng
In this paper, we consider the existence of solutions for the linearly coupled Choquard system with potentials \begin{align*} \left\{\begin{aligned} &-Δu+λ_1 u+V_1(x)u=μ_1(I_α\star…
Normalized solutions for a coupled fractional schrodinger system in low dimensions
Meng Li, Jinchun He, Haoyuan Xu +1
We consider the following coupled fractional Schrödinger system: \begin{equation*} \left\{ \begin{aligned} &(-Δ)^su+λ_1u=μ_1|u|^{2p-2}u+β|v|^p|u|^{p-2}u\\ &(-Δ)^sv+λ_2v=μ_2|v|^{2p-…
Positive ground state solutions for fractional Laplacian system with one critical exponent and one subcritical exponent
Maoding Zhen, Jinchun He, Haoyuan Xu +1
In this paper, we consider the following fractional Laplacian system with one critical exponent and one subcritical exponent \begin{equation*} \begin{cases} (-Δ)^{s}u+μu=|u|^{p-1}u…
Critical system involving fractional Laplacian
Maoding Zhen, Jinchun He, Haoyuan Xu
In this paper, we study the following critical system with fractional Laplacian: \begin{equation*} \begin{cases} (-Δ)^{s}u= μ_{1}|u|^{2^{\ast}-2}u+\frac{αγ}{2^{\ast}}|u|^{α-2}u|v|^…
Approximation of the inertial manifold for a nonlocal dynamical system
Xingjie Yan, Jinchun He, Jinqiao Duan
We consider inertial manifolds and their approximation for a class of partial differential equations with a nonlocal Laplacian operator , with . The nonlo…
Global solutions for a nonlocal Ginzberg-Landau equation and a nonlocal Fokker-Plank equation
Jinchun He, Jinqiao Duan, Hongjun Gao
This work is devoted to the study of a nonlocal Ginzberg-Landau equation by the semigroup method and a nonlocal Fokker-Plank equation by the viscosity vanishing method. For the non…