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).
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]
Titolo: | On the lack of bound states for certain NLS equations on metric graphs | |
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Data di pubblicazione: | 2016 | |
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Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.na.2016.07.008 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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Serra E., Tentarelli L., On the lack of bound states for certain NLS equations on metric graphs, 2016, NA.pdf | 2a Post-print versione editoriale / Version of Record | Non Pubblico - Accesso privato/ristretto | Administrator Richiedi una copia | |
SerraTentarelli_revised.pdf | 2. Post-print / Author's Accepted Manuscript | ![]() | Visibile a tuttiVisualizza/Apri |
http://hdl.handle.net/11583/2662273