Normalized solutions of L 2-supercritical NLS equations on noncompact metric graphs with localized nonlinearities

Borthwick, J; Chang, X; Jeanjean, L; Soave, N

Normalized solutions of L 2-supercritical NLS equations on noncompact metric graphs with localized nonlinearities

Borthwick, J Chang, X

Jeanjean, L Soave, N

Permalink

Publisher:: IOP Publishing Ltd
Publication Type:: Journal Article
Citation:: NONLINEARITY, 2023, 36, (7), pp. 3776-3795
Issue Date:: 2023-07-01

Closed Access

	Filename	Description	Size
	Borthwick_2023_Nonlinearity_36_3776.pdf	Published version	348.21 kB	Adobe PDF	View/Open

Copyright Clearance Process

Recently Added
In Progress
Closed Access

This item is closed access and not available.

Full metadata record

Field	Value	Language
dc.contributor.author	Borthwick, J
dc.contributor.author	Chang, X https://orcid.org/0000-0002-7778-8807
dc.contributor.author	Jeanjean, L
dc.contributor.author	Soave, N
dc.date.accessioned	2024-05-07T06:12:23Z
dc.date.available	2024-05-07T06:12:23Z
dc.date.issued	2023-07-01
dc.identifier.citation	NONLINEARITY, 2023, 36, (7), pp. 3776-3795
dc.identifier.issn	0951-7715
dc.identifier.issn	1361-6544
dc.identifier.uri	http://hdl.handle.net/10453/178721
dc.description.abstract	<jats:title>Abstract</jats:title> <jats:p>In this paper we are concerned with the existence of normalized solutions for nonlinear Schrödinger equations on noncompact metric graphs with localized nonlinearities. In a <jats:italic>L</jats:italic> <jats:sup>2</jats:sup>-supercritical regime, we obtain the existence of solutions for any prescribed mass. This result is obtained through an approach which could prove successful to treat more general equations on noncompact graphs.</jats:p>
dc.language	English
dc.publisher	IOP Publishing Ltd
dc.relation.ispartof	NONLINEARITY
dc.relation.isbasedon	10.1088/1361-6544/acda76
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0102 Applied Mathematics
dc.subject.classification	General Mathematics
dc.subject.classification	4901 Applied mathematics
dc.subject.classification	4904 Pure mathematics
dc.title	Normalized solutions of <i>L</i> <SUP>2</SUP>-supercritical NLS equations on noncompact metric graphs with localized nonlinearities
dc.type	Journal Article
utslib.citation.volume	36
utslib.for	0102 Applied Mathematics
pubs.organisational-group	University of Technology Sydney
pubs.organisational-group	University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	University of Technology Sydney/Strength - AAII - Australian Artificial Intelligence Institute
utslib.copyright.status	closed_access	*
dc.date.updated	2024-05-07T06:12:21Z
pubs.issue	7
pubs.publication-status	Published
pubs.volume	36
utslib.citation.issue	7

Abstract:

Abstract In this paper we are concerned with the existence of normalized solutions for nonlinear Schrödinger equations on noncompact metric graphs with localized nonlinearities. In a L 2-supercritical regime, we obtain the existence of solutions for any prescribed mass. This result is obtained through an approach which could prove successful to treat more general equations on noncompact graphs.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/178721

Normalized solutions of <i>L</i> <SUP>2</SUP>-supercritical NLS equations on noncompact metric graphs with localized nonlinearities