论文标题
schrödinger-Poisson-Slater方程的基态渐近状态
Asymptotic profile of ground states for the Schrödinger-Poisson-Slater equation
论文作者
论文摘要
我们研究Schrödinger-Poisson-Slater方程$$-ΔU + u + +λ（i_ {2}*| u |^2）通过基于基态能级的比较，使用直接变分分析，我们获得了$λ\ to \ infty $的正层状态的极限曲线的表征。
We study the Schrödinger-Poisson-Slater equation $$-Δu + u+λ(I_{2}*|u|^2)u=|u|^{p-2}u\quad\text{in $\mathbb R^3$},$$ where $p\in (3,6)$ and $λ>0$. By using direct variational analysis based on the comparison of the ground state energy levels, we obtain a characterization of the limit profile of the positive ground states for $λ\to \infty$.
