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arXiv · 2204.01043

Normalized solutions of $L^2$-supercritical NLS equations on compact metric graphs

Xiaojun Chang·Louis Jeanjean·Nicola Soave
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Abstract

This paper is devoted to the existence of non-trivial bound states of prescribed mass for the mass-supercritical nonlinear Schr\"odinger equation on compact metric graphs. The investigation is based upon a general variational principle which combines the monotonicity trick and a min-max theorem with second order information, and upon the blow-up analysis of bound states with prescribed mass and bounded Morse index.

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Xiaojun Chang, Louis Jeanjean, Nicola Soave. 2022-04-03. Normalized solutions of $L^2$-supercritical NLS equations on compact metric graphs. https://arxiv.org/abs/2204.01043

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