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Pré-Publication, Document De Travail Année : 2024

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

Résumé

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.

Dates et versions

hal-04590083 , version 1 (28-05-2024)

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Pablo Carrillo, Damien Galant, Louis Jeanjean, Christophe Troestler. Infinitely many normalized solutions of $L^2$-supercritical NLS equations on noncompact metric graphs with localized nonlinearities. 2024. ⟨hal-04590083⟩
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