On the mass concentration of L-2-constrained minimizers for a class of Schrodinger-Poisson equations
On the mass concentration of L-2-constrained minimizers for a class of Schrodinger-Poisson equations
复制标题
一类薛定谔-泊松方程的L-2约束极小值的质量浓度
DOI：
10.1007/s00033-018-0963-4
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发表时间：
2018
影响因子：
2
通讯作者：
Luo Tingjian
中科院分区：
文献类型：
--
作者：
Ye Hongyu;Luo Tingjian
本文研究了一类Schrödinger-Poisson方程的正解在给定范数下的质量集中行为，该正解位于$Begin{Aligned}-\Delta u-\muu+\Phi_uu-|u|^{p-2}u=0，\，\，&{}x\in{\mathbb R}，\--Delta\Phi_u=|u|^2，\，&{}\结束{数组}\对。\end{alized}$$where。我们证明了范数为0(在某些情况下)或趋向于(在另一些情况下)的正解类似于薛定谔方程的正解。
In this paper, we study the mass concentration behavior of positive solutions with prescribed-norm for a class of Schrödinger–Poisson equations in$$\begin{aligned} \left\{ \begin{array}{ll} -\Delta u-\mu u+\phi _uu-|u|^{p-2}u=0,\,\,\, &{} x\in {\mathbb R}^3,~\mu \in {\mathbb R},\\ -\Delta \phi _u=|u|^2,\,\,\, &{} \end{array} \right. \end{aligned}$$where. We show that positive solutions with prescribed-norm as which tends to 0 (in some cases) or to(in others), behave like the positive solution of Schrödinger equationin.