论文标题

关于与规定质量的Schrödinger-Poisson系统相关的Nehari集合的结构:旧和新结果

On the structure of the Nehari set associated to a Schrödinger-Poisson system with prescribed mass: old and new results

论文作者

Siciliano, Gaetano, Silva, Kaye

论文摘要

在本文中,我们将Pohozaev的光纤方法应用于Schrödinger-Poisson系统,并在整个$ \ Mathbb r^{3} $中使用规定的未知数$ l^{2} $ norm。该方法清楚地表明了指数$ p = 3,p = 8/3,p = 10/3 $所起的作用。 除了显示旧结果外,我们还展示了新的结果。

In this paper we apply the fibering method of Pohozaev to a Schrödinger-Poisson system, with prescribed $L^{2}$ norm of the unknown, in the whole $\mathbb R^{3}$. The method makes clear the role played by the exponents $p=3, p=8/3, p=10/3$. Beside to show as old results can be obtained in a unified way, we exhibit also new ones.

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