14 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,…