2 citations · 2 across the 7 of their papers we have counts for
7 papers
Existence and local uniqueness of multi-spike solutions for Brézis-Nirenberg problem with prescribed mass
Zongyan Lv, Xiaoyu Zeng, Huan-Song Zhou
In this paper, we consider the following Brézis-Nirenberg problem with prescribed -norm (mass) constraint: \begin{equation*} \begin{cases} -Δu=|u|^{2^*-2} u +λ_ρu\quad \text…
Normalized Solutions on large smooth domains to the Schrödinger equation with potential and general nonlinearity: Mass super-critical case
Xiaolu Lin, Zongyan Lv
In this paper, we consider the existence and multiplicity of prescribed mass solutions to the following nonlinear Schrödinger equation with general nonlinearity: Mass super-critica…
Normalized solutions on large smooth domains to the Schrödinger equations with potential and combined nonlinearities: The Sobolev critical case
Xiaolu Lin, Yanjun Liu, Zongyan Lv
In this paper, we consider the existence and multiplicity of prescribed mass solutions to the following nonlinear Schrodinger equations with mixed nonlinearities. The standard appr…
Existence and blow up behavior of prescribed mass solutions on large smooth domains to the Kirchhoff equation with combined nonlinearities
Xiaolu Lin, Zongyan Lv
In this paper, we consider the existence, multiplicity and the asymptotic behavior of prescribed mass solutions to the following nonlinear Kirchhoff equation with mixed nonlinearit…
Normalized solutions for a Kirchhoff type equations with potential in
Leilei Cui, Qihan He, Zongyan Lv +1
In the present paper, we study the existence of normalized solutions to the following Kirchhoff type equations \begin{equation*} -\left(a+b\int_{\R^3}|\nabla u|^2\right)Δu+V(x)u+λu…
Existence of nontrivial solutions for critical biharmonic equations with logarithmic term
Qihan He, Juntao Lv, Zongyan Lv +1
In this paper, we consider the existence of nontrivial solutions to the following critical biharmonic problem with a logarithmic term \begin{equation*} \begin{cases} Δ^2 u=μΔu+λu+|…
Positive normalized solution to the Kirchhoff equation with general nonlinearities of mass super-critical
Qihan He, Zongyan Lv, Yimin Zhang +1
In present paper, we study the normalized solutions to the following Kirchhoff problem $$ -\left(a+b\int_{\R^N}|\nabla u|^2dx\right)Δu+λu=g(u)~\h…