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

Pablo Carrillo, Damien Galant, Louis Jeanjean, Christophe Troestler

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.

Discrete and Continuous Dynamical Systems - Series A, 2026, Special issue on normalized solutions of nonlinear Schrődinger equations & beyond, 53, pp.82-105. ⟨10.3934/dcds.2025085⟩. ⟨hal-04590083⟩