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arXiv · 2403.10959

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
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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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Pablo Carrillo, Damien Galant, Louis Jeanjean, Christophe Troestler. 2024-03-16. Infinitely many normalized solutions of $L^2$-supercritical NLS equations on noncompact metric graphs with localized nonlinearities. https://arxiv.org/abs/2403.10959

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