The purpose of this paper is to prove some results on the absence of bound states for certain nonlinear Schrödinger 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 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

Tentarelli, Lorenzo
2016

Abstract

The purpose of this paper is to prove some results on the absence of bound states for certain nonlinear Schrödinger 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 Serra and Tentarelli (2016) and Tentarelli (2016).
2016
Bound states; Localized nonlinearity; Metric graphs; NLS; Analysis; Applied Mathematics
01 Pubblicazione su rivista::01a Articolo in rivista
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1118969
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