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Infinitely many normalized solutions of $L^2$-supercritical NLS equations on noncompact metric graphs with localized nonlinearities

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arxiv 2403.10959 v2 pith:7FLDAIIZ submitted 2024-03-16 math.AP

Pablo Carrillo , Damien Galant , Louis Jeanjean , Christophe Troestler This is my paper · ORCID
classification math.AP
keywords solutionsequationsexistencegraphsinfinitelylocalizedmanymetric
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abstract

We consider the existence of solutions for nonlinear Schr\"odinger 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.

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  1. Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities

    math.AP 2025-05 conditional novelty 6.0 of 10

    The paper proves several existence theorems for L2-normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities.

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