Multiple positive bound states for the subcritical NLS equation on metric graphs

Adami, Riccardo; Serra, Enrico; Tilli, Paolo

doi:10.1007/s00526-018-1461-4

We consider the Schrödinger equation with a subcritical focusing power nonlinearity on a noncompactmetricgraph,andprovethatforeveryfiniteedgethereexistsathresholdvalueof themass,beyondwhichthereexistsapositiveboundstateachievingitsmaximumonthatedge only. This bound state is characterized as a minimizer of the energy functional associated to the NLS equation, with an additional constraint (besides the mass prescription): this requires particular care in proving that the minimizer satisfies the Euler–Lagrange equation. As a consequence, for a sufficiently large mass every finite edge of the graph hosts at least one positive bound state that, owing to its minimality property, is orbitally stable.

Multiple positive bound states for the subcritical NLS equation on metric graphs / Adami, Riccardo; Serra, Enrico; Tilli, Paolo. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - STAMPA. - 58:1(2019).

Titolo:	Multiple positive bound states for the subcritical NLS equation on metric graphs
Autori:	ADAMI, RICCARDO SERRA, Enrico TILLI, PAOLO
Data di pubblicazione:	2019
Rivista:	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
Digital Object Identifier (DOI):	http://dx.doi.org/10.1007/s00526-018-1461-4
Appare nelle tipologie:	1.1 Articolo in rivista

File in questo prodotto:

File	Descrizione	Tipologia	Licenza
AST_multiple_bound_states.pdf		2a Post-print versione editoriale / Version of Record	Non Pubblico - Accesso privato/ristretto	Administrator Richiedi una copia
adami_serra_tilli_multiple_positive_bound_states.pdf		1. Preprint / Submitted Version	Non Pubblico - Accesso privato/ristretto	Administrator Richiedi una copia

Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/11583/2729938

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

PORTO @ Archivio Istituzionale della Ricerca

File in questo prodotto: