NLS ground states on metric graphs with localized nonlinearities
NLS ground states on metric graphs with localized nonlinearities
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具有局部非线性的度量图上的 NLS 基态
DOI：
10.1016/j.jmaa.2015.07.065
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发表时间：
2015
影响因子：
1.3
通讯作者：
L. Tentarelli
中科院分区：
文献类型：
--
作者：
L. Tentarelli
研究了具有局部非线性度规图上聚焦次临界NLS能量基态的存在性。特别是，我们发现两个阈值的测量区域的非线性是本地化的，这意味着，分别存在或不存在的基态。为了得到这些结果，我们适应的度量图的背景下，一些经典的技术从变分法。
We investigate the existence of ground states for the focusing subcritical NLS energy on metric graphs with localized nonlinearities. In particular, we find two thresholds on the measure of the region where the nonlinearity is localized that imply, respectively, existence or nonexistence of ground states. In order to obtain these results we adapt to the context of metric graphs some classical techniques from the Calculus of Variations.
影响因子：
2.9
作者：
S. Gnutzmann;U. Smilansky;S. Derevyanko
通讯作者：
S. Gnutzmann;U. Smilansky;S. Derevyanko