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math.AP2023
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…
math.AP2023
Ground state solutions to a coupled nonlinear logarithmic Hartree system
Qihan He, Yafei Li, Yanfang Peng
In this paper, we study the following coupled nonlinear logarithmic Hartree system \begin{align*} \left\{ \displaystyle \begin{array}{ll} \displaystyle -Δu+ λ_1 u =μ_1\left( -\frac…
math.AP2023
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+|…