Archivio Istituzionale della RicercaThe purpose of this paper is to prove some results on the absence of bound states for certain nonlinear Schroedinger 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 in Serra and Tentarelli (2016) and Tentarelli (2016).
On the lack of bound states for certain NLS equations on metric graphs / Serra, Enrico; Tentarelli, Lorenzo. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 145:(2016), pp. 68-82. [10.1016/j.na.2016.07.008]
On the lack of bound states for certain NLS equations on metric graphs
Serra Enrico;Tentarelli Lorenzo
2016
Abstract
The purpose of this paper is to prove some results on the absence of bound states for certain nonlinear Schroedinger 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 in Serra and Tentarelli (2016) and Tentarelli (2016).
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Serra E., Tentarelli L., On the lack of bound states for certain NLS equations on metric graphs, 2016, NA.pdf
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SerraTentarelli_revised.pdf
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https://hdl.handle.net/11583/2662273