67 citations · 72 across the 5 of their papers we have counts for
5 papers
Qualitative analysis of multi-peak solutions for Nonlinear Schrödinger equations with nearly critical Sobolev exponents
Zhongyuan Liu, Shuying Tian, Huafei Xie +1
In this paper, we are concerned with qualitative properties of multi-peak solutions of the following nonlinear Schrödinger equations \begin{equation*} -Δu+V(x)u= u^{p-\varepsilon},…
Multiple Vortices for the Shallow Water Equation
Daomin Cao, Zhongyuan Liu
In this paper, we construct stationary classical solutions of the shallow water equation with vanishing Froude number in the so-called lake model. To this end we need to study…
Regularization of point vortices for the Euler equation in dimension two, part II
Daomin Cao, Zhongyuan Liu, Juncheng Wei
In this paper, we continue to construct stationary classical solutions of the incompressible Euler equation approximating singular stationary solutions of this equation. This proce…
Regularization of point vortices for the Euler equation in dimension two
Daomin Cao, Zhongyuan Liu, Juncheng Wei
In this paper, we construct stationary classical solutions of the incompressible Euler equation approximating singular stationary solutions of this equation. This procedure is carr…
Concentration of solutions for a fourth order elliptic equation in
Liu Zhongyuan
In this paper, we study the following fourth order elliptic problem where ,, . We prove t…