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arXiv · 1803.09246

Ground states of the $L^2$-critical NLS equation with localized nonlinearity on a tadpole graph

Simone Dovetta·Lorenzo Tentarelli
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Abstract

The paper aims at giving a first insight on the existence/nonexistence of ground states for the $L^2$-critical NLS equation on metric graphs with localized nonlinearity. In particular, we focus on the tadpole graph, which, albeit being a toy model, allows to point out some specific features of the problem, whose understanding will be useful for future investigations.

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Simone Dovetta, Lorenzo Tentarelli. 2018-03-25. Ground states of the $L^2$-critical NLS equation with localized nonlinearity on a tadpole graph. https://doi.org/10.1007/978-3-030-44097-8_5

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