5 papers
Strichartz estimates for orthonormal functions and probabilistic convergence of density functions of compact operators on manifolds
Wei Yan, Jinqiao Duan, Jianhua Huang +2
In this paper, we establish some Strichartz estimates for orthonormal functions and probabilistic convergence of density functions related to compact operators on manifolds. Firstl…
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|^…