8 citations · 13 across the 13 of their papers we have counts for
13 papers
Existence and symmetry breaking of vectorial ground states for Hartree-Fock type systems with potentials
Juntao Sun, Tsung-fang Wu
In this paper we study the Hartree-Fock type system as follows: \begin{equation*} \left\{ \begin{array}{ll} -Δu+V\left( x\right) u+ρ\left( x\right) ϕ_{ρ,\left(u,v\right) }u=\left\v…
Existence and dynamical behaviour of vectorial standing waves with prescribed mass for Hartree-Fock type systems
Shuai Yao, Juntao Sun, Tsung-fang Wu
In this paper, we investigate vectorial standing waves with prescribed mass for the Hartree-Fock type system (HF system) with the double coupled feature. Such system is viewed as a…
Vectorial ground state solutions for a class of Hartree-Fock type systems with the double coupled feature
Juntao Sun, Tsung-fang Wu
In this paper we study the Hartree-Fock type system as follows: \begin{equation*} \left\{ \begin{array}{ll} -Δu+u+λϕ_{u,v}u=\left\vert u\right\vert ^{p-2}u+β\left\vert v\right\vert…
The planar Schrodinger--Poisson system with exponential critical growth: The local well-posedness and standing waves with prescribed mass
Juntao Sun, Shuai Yao, Jian Zhang
In this paper, we investigate a class of planar Schrödinger-Poisson systems with critical exponential growth. We establish conditions for the local well-posedness of the Cauchy pro…
Standing waves for the NLS equation with competing nonlocal and local nonlinearities: the double -supercritical case
Shuai Yao, Hichem Hajaiej, Juntao Sun +1
We investigate the NLS equation with competing Hartree-type and power-type nonlinearities \begin{equation*} \begin{array}{ll} i\partial _{t}ψ+Δψ+γ(I_{α}\ast |ψ|^{p})|ψ|^{p-2}ψ+μ|ψ|…
On indefinite Kirchhoff-type equations under the combined effect of linear and superlinear terms
Juntao Sun, Kuan-Hsiang Wang, Tsung-fang Wu
We investigate a class of Kirchhoff type equations involving a combination of linear and superlinear terms as follows: \begin{equation*} -\left( a\int_{\mathbb{R}^{N}}|\nabla u|^{2…
On the Kirchhoff type equations in
Juntao Sun, Tsung-Fang Wu
Consider a nonlinear Kirchhoff type equation as follows \begin{equation*} \left\{ \begin{array}{ll} -\left( a\int_{\mathbb{R}^{N}}|\nabla u|^{2}dx+b\right) Δu+u=f(x)\left\vert u\ri…
Multiplicity and concentration of nontrivial solutions for the generalized extensible beam equations
Juntao Sun, Tsung-fang Wu
In this paper, we study a class of generalized extensible beam equations with a superlinear nonlinearity \begin{equation*} \left\{ \begin{array}{ll} Δ^{2}u-M\left( \Vert \nabla u\V…
Bound state nodal solutions for the non-autonomous Schrödinger--Poisson system in
Juntao Sun, Tsung-fang Wu
In this paper, we study the existence of nodal solutions for the non-autonomous Schrödinger--Poisson system: \begin{equation*} \left\{ \begin{array}{ll} -Δu+u+λK(x) ϕu=f(x) |u|^{p-…
The effect of nonlocal term on the superlinear Kirchhoff type equations in
Juntao Sun, Tsung-fang Wu
We are concerned with a class of Kirchhoff type equations in as follows: \begin{equation*} \left\{ \begin{array}{ll} -M\left( \int_{\mathbb{R}^{N}}|\nabla u|^{2}dx…
On the Schrödinger-Poisson system with steep potential well and indefinite potential
Juntao Sun, Tsung-fang Wu, Yuanze Wu
In this paper, we study the following Schrödinger-Poisson system: $$ \left\{\aligned&-Δu+V_λ(x)u+K(x)ϕu=f(x,u)&\quad\text{in }\bbr^3,\\ &-Δϕ=K(x)u^2&\quad\text{in }\bbr^3,\\ &(u,ϕ)…
On the indefinite Kirchhoff type problems with local sublinearity and linearity
Juntao Sun, Tsung-fang Wu
The purpose of this paper is to study the indefinite Kirchhoff type problem: \begin{equation*} \left\{ \begin{array}{ll} M\left( \int_{\mathbb{R}^{N}}(|\nabla u|^{2}+u^{2})dx\right…
On the non-autonomous Schrödinger-Poisson problems in
Juntao Sun, Tsung-fang Wu
In this paper, we study the problem: \begin{equation*} \left\{ \begin{array}{ll} -Δu+u+λK\left( x\right) ϕu=a\left( x\right) \left\vert u\right\vert ^{p-2}u & \text{ in }\mathbb{R}…