3 citations · 8 across the 20 of their papers we have counts for
21 papers
Large-Amplitude Steady Electrohydrodynamic Solitary Waves with Constant Vorticity
Tingting Feng, Yong Zhang, Zhitao Zhang
This paper investigates solitary water waves propagating along the surface of a two-dimensional dielectric fluid with constant vorticity in the presence of an external electric fie…
Blow-up of cylindrically symmetric solutions for Fractional NLS
Tianxiang Gou, Vicentiu D. Radulescu, Zhitao Zhang
In this paper, we consider blow-up of solutions to the Cauchy problem for the following fractional NLS, $$ \textnormal{i} \, \partial_t u=(-Δ)^s u-|u|^{2 σ} u \quad \text{in} \,\,…
Classification of stationary solutions of the -dimensional radial Yang-Mills equation
Kui Li, Zhitao Zhang
We classify the solutions of the planar weighted Allen-Cahn equation arising from the critical equivariant Yang-Mills problem. We first give a complete classification for r…
Symmetry of Convex Solutions to Fully Nonlinear Elliptic Systems: Bounded Domains
Weijun Zhang, Zhitao Zhang
In this paper, we are concerned with the monotonic and symmetric properties of convex solutions to fully nonlinear elliptic systems. We mainly discuss Monge-Ampère type systems for…
Bifurcation on Fully Nonlinear Elliptic Equations and Systems
Jing Gao, Weijun Zhang, Zhitao Zhang
In this paper, we study the following fully nonlinear elliptic equations \begin{equation*} \left\{\begin{array}{rl} \left(S_{k}(D^{2}u)\right)^{\frac1k}=λf(-u) & in\quadΩ\\ u=0 & o…
Symmetry of Convex Solutions to Fully Nonlinear Elliptic Systems: Unbounded Domains
Weijun Zhang, Zhitao Zhang
In this paper, we are concerned with the monotonic and symmetric properties of convex solutions Monge-Ampère systems for instance, considering \begin{equation*} \det(D^2u^i)=f^i(x,…
Normalized solutions to Schrödinger systems with linear and nonlinear couplings
Zhaoyang Yun, Zhitao Zhang
In this paper, we study important Schrödinger systems with linear and nonlinear couplings \begin{equation}\label{eq:diricichlet} \begin{cases} -Δu_1-λ_1 u_1=μ_1 |u_1|^{p_1-2}u_1+r_…
Dynamics of nonlinear hyperbolic equations of Kirchhoff type
Jianyi Chen, Yimin Sun, Zonghu Xiu +1
In this paper, we study the initial boundary value problem of the important hyperbolic Kirchhoff equation $$u_{tt}-\left(a \int_Ω|\nabla u|^2 \dif x +b\right)Δu = λu+ |u|^{p-1}u ,$…
Periodic solutions to Klein-Gordon systems with linear couplings
Jianyi Chen, Zhitao Zhang, Guijuan Chang +1
In this paper, we study the nonlinear Klein-Gordon systems arising from relativistic physics and quantum field theories $$\left\{\begin{array}{lll} u_{tt}- u_{xx} +bu + \varepsilon…
The uniform spreading speed in cooperative systems with non-uniform initial data
Ru Hou, Zhian Wang, Wen-Bing Xu +1
This paper considers the spreading speed of cooperative nonlocal dispersal system with irreducible reaction functions and non-uniform initial data. Here the non-uniformity means th…
Concentration Phenomenon of Semiclassical States to Reaction-Diffusion Systems
Tianxiang Gou, Zhitao Zhang
In this paper, we consider concentration phenomenon of semiclassical states to the following -component reaction-diffusion system in , \begin{align*} \left\{ \b…
Normalized solutions to the Chern-Simons-Schrödinger system
Tianxiang Gou, Zhitao Zhang
In this paper, we study normalized solutions to the Chern-Simons-Schrödinger system, which is a gauge-covariant nonlinear Schöridnger system with a long-range electromagnetic field…
Asymptotic behavior of time periodic solutions for extended Fisher-Kolmogorov equations with delays
Pengyu Chen, Xuping Zhang, Zhitao Zhang
In this paper, we investigate the global existence, uniqueness and asymptotic stability of time -periodic classical solution for a class of extended Fisher-Kolmogorov equations…
On the Lane-Emden conjecture
Kui Li, Zhitao Zhang
We consider the Lane-Emden conjecture which states that there is no non-trivial non-negative solution for the Lane-Emden system whenever the pair of exponents is subcritical. By So…
Symmetry breaking via Morse index for equations and systems of Hénon-Schrödinger type
Zhenluo Lou, Tobias Weth, Zhitao Zhang
We consider the Dirichlet problem for the Schrödinger-Hénon system in the unit ball $Ω\…
Ground and bound state solutions for a Schrödinger system with linear and nonlinear couplings in
Kanishka Perera, Cyril Tintarev, Jun Wang +1
We study the existence of ground and bound state solutions for a system of coupled Schrödinger equations with linear and nonlinear couplings in . By studying the limi…
Asymmetric critical -Laplacian problems
Kanishka Perera, Yang Yang, Zhitao Zhang
We obtain nontrivial solutions for two types of critical -Laplacian problems with asymmetric nonlinearities in a smooth bounded domain in . For …
Existence and bifurcation of solutions for a double coupled system of Schrodinger equations
Rushun Tian, Zhitao Zhang
Consider the following system of double coupled Schrödinger equations arising from Bose-Einstein condensates etc., \begin{equation*} \left\{\begin{array}{l} -Δu + u =μ_1 u^3 + βuv^…
On a power-type coupled system of Monge-Ampère equations
Zhitao Zhang, Zexin Qi
We study an elliptic system coupled by Monge-Ampère equations: \begin{center} $\left\{ \begin{array}{ll} det~D^{2}u_{1}={(-u_{2})}^α, & \hbox{in $Ω,$} det~D^{2}u_{2}={(-u_{1})}^β,…
Existence and multiplicity of solutions for nonlocal systems with Kirchhoff type
Zhitao Zhang, Yimin Sun
Firstly, we use Nehari manifold and Mountain Pass Lemma to prove an existence result of positive solutions for a class of nonlocal elliptic system with Kirchhoff type. Then a multi…
Existence of multiple solutions to a class of nonlinear Schrödinger system with external sources terms
Zexin Qi, Zhitao Zhang
We study a class of nonlinear schrödinger system with external sources terms as perturbations in order to obtain existence of multiple solutions, this system arises from Bose-Einst…