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arXiv · 1604.06288

On the lack of bound states for certain NLS equations on metric graphs

Enrico Serra·Lorenzo Tentarelli
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Abstract

The purpose of this paper is to prove some results on the absence of bound states for certain nonlinear Schr\"odinger equations on noncompact metric graphs with localized nonlinearity. In particular, we show how the topological and metric properties of graphs affect the existence/nonexistence of bound states. This work completes the discussion initiated in [17, 18].

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Enrico Serra, Lorenzo Tentarelli. 2016-04-21. On the lack of bound states for certain NLS equations on metric graphs. https://doi.org/10.1016/j.na.2016.07.008

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