Article Dans Une Revue Nonlinearity Année : 2023

Normalized solutions of L2-supercritical NLS equations on noncompact metric graphs with localized nonlinearities

Résumé

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 L2-supercritical regime, we obtain the existence of solu- tions for any prescribed mass. This result is obtained through an approach which could prove successful to treat more general equations on noncompact graphs.

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hal-04145060 , version 1 (06-01-2025)

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Jack Borthwick, Xiaojun Chang, Louis Jeanjean, Nicola Soave. Normalized solutions of L2-supercritical NLS equations on noncompact metric graphs with localized nonlinearities. Nonlinearity, 2023, 36 (7), pp.3776. ⟨10.1088/1361-6544/acda76⟩. ⟨hal-04145060⟩
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