2 citations · 5 across the 5 of their papers we have counts for
5 papers · 1 filter
Extremal values of -Pohozaev manifolds and their applications
Taicheng Liu, Yuanze Wu
In this paper, we consider the following Schrödinger equation: \begin{equation*} \begin{cases} -Δu=λu+μ|u|^{q-2}u+|u|^{2^*-2}u\quad\text{in }\mathbb{R}^N,\\ \int_{\mathbb{R}^N}|u(x…
Stability of the Caffarelli-Kohn-Nirenberg inequality: the existence of minimizers
Juncheng Wei, Yuanze Wu
In this paper, we consider the following variational problem: \begin{eqnarray*} \inf_{u\in D^{1,2}_a(\bbr^N)\backslash\mathcal{Z}}\frac{\|u\|^2_{D^{1,2}_a(\bbr^N)}-C_{a,b,N}^{-1}\|…
On some nonlinear Schrödinger equations in $\bbr^N$
Juncheng Wei, Yuanze Wu
In this paper, we introduce some new ideas to study Schrodinger equations in RN with power-type nonlinearities.
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)…