16 citations · 33 across the 16 of their papers we have counts for
16 papers
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…
On the nonlinear Schrödinger-Poisson systems with positron-electron interaction
Ching-yu Chen, Yueh-cheng Kuo, Tsung-fang Wu
We study the Schrödinger-Poisson type system: \begin{equation*} \left\{ \begin{array}{ll} -Δu+λu+\left( μ_{11}ϕ_{u}-μ_{12}ϕ_{v}\right) u=% \frac{1}{2π}\int_{0}^{2π}\left\vert u+e^{…
Positive solutions for nonlinear Schrödinger--Poisson Systems with general nonlinearity
Ching-yu Chen, Tsung-fang Wu
In this paper, we study a class of Schrödinger-Poisson (SP) systems with general nonlinearity where the nonlinearity does not require Ambrosetti-Rabinowitz and Nehari monotonic con…
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 non-local nonlinear elliptic equations involving an eigenvalue problem
Kuan-Hsiang Wang, Ching-yu Chen, Yueh-cheng Kuo +1
The existence and multiplicity of solutions for a class of non-local elliptic boundary value problems with superlinear source functions are investigated in this paper. Using variat…
On the solvability of an indefinite nonlinear Kirchhoff equation via associated eigenvalue problems
Han-Su Zhang, Tiexiang Li, Tsung-fang Wu
We study the non-existence, existence and multiplicity of positive solutions to the following nonlinear Kirchhoff equation:% \begin{equation*} \left\{ \begin{array}{l} -M\left( \in…
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…
Existence and multiplicity of positive solutions for fractional Laplacian systems with nonlinear coupling
Guofeng Che, Haibo Chen, Tsung-fang Wu
It is well known that a single nonlinear fractional Schrödinger equation with a potential and a small parameter may have a positive solution that is concentra…
On a two-component Bose-Einstein condensate with steep potential wells
Yuanze Wu, Tsung-fang Wu, Wenming Zou
In this paper, we study the following two-component systems of nonlinear Schrödinger equations \begin{equation*} \left\{\aligned&Δu-(λa(x)+a_0(x))u+μ_1u^3+βv^2u=0\quad&\text{in }\b…
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}…