Infinitely many normalized solutions of <inline-formula><tex-math id="M1">$ L^2 $</tex-math></inline-formula>-supercritical NLS equations on noncompact metric graphs with localized nonlinearities

We consider the existence of solutions for nonlinear Schrödinger equations on noncompact metric graphs with localized nonlinearities. In an $ L^2 $-supercritical regime, we establish the existence of infinitely many solutions for any prescribed mass.

Authors

Damien Galant
Louis Jeanjean (ORCID: https://orcid.org/0000-0002-7864-0900)
Christophe Troestler (ORCID: https://orcid.org/0000-0001-9547-9090)
Pablo Carrillo

Institutions

Centre National de la Recherche Scientifique (FR)
University of Mons (BE)
Université Marie et Louis Pasteur (FR)
Université Polytechnique Hauts-de-France (FR)

Publication Details

Journal: Discrete and Continuous Dynamical Systems
Published: 2025-01-01
DOI: https://doi.org/10.3934/dcds.2025085
Citations: 2
Primary Topic: Advanced Mathematical Physics Problems
Type: article
Field-Weighted Citation Impact: 7.38

Funders

Agence Nationale de la Recherche
Fonds De La Recherche Scientifique - FNRS

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article

Infinitely many normalized solutions of <inline-formula><tex-math id="M1">$ L^2 $</tex-math></inline-formula>-supercritical NLS equations on noncompact metric graphs with localized nonlinearities

Damien Galant, Louis Jeanjean, Christophe Troestler, Pablo Carrillo

Jan 1, 2025

2 citations

Discrete and Continuous Dynamical Systems

Advanced Mathematical Physics Problems

7.38

article

Infinitely many normalized solutions of <inline-formula><tex-math id="M1">$ L^2 $</tex-math></inline-formula>-supercritical NLS equations on noncompact metric graphs with localized nonlinearities

Damien Galant, Louis Jeanjean, Christophe Troestler, Pablo Carrillo

January 1, 2025article en

2 citations

Abstract

We consider the existence of solutions for nonlinear Schrödinger equations on noncompact metric graphs with localized nonlinearities. In an $ L^2 $-supercritical regime, we establish the existence of infinitely many solutions for any prescribed mass.

Discrete and Continuous Dynamical SystemsVol. 0(0)

Centre National de la Recherche Scientifique (FR), University of Mons (BE), Université Marie et Louis Pasteur (FR), Université Polytechnique Hauts-de-France (FR)

Agence Nationale de la Recherche, Fonds De La Recherche Scientifique - FNRS

Openalex Percentile: Top 3%

Advanced Mathematical Physics Problems

7.38

DOI Open Access PDF OpenAlex

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Infinitely many normalized solutions of <inline-formula><tex-math id="M1">$ L^2 %slt;/tex-math></inline-formula>-supercritical NLS equations on noncompact metric graphs with localized nonlinearities — Damien Galant, Louis Jeanjean, et al. · Discrete and Continuous Dynamical Systems (2025) | TGRS Research Map | TGRS