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20152026
most citedNLS ground states on metric graphs with localized nonlinearities

57 citations · 475 across the 30 of their papers we have counts for

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math.AP2022★ 3 cited

Well-posedness of the three-dimensional NLS equation with sphere-concentrated nonlinearity

Domenico Finco, Lorenzo Tentarelli, Alessandro Teta

We discuss strong local and global well-posedness for the three-dimensional NLS equation with nonlinearity concentrated on . Precisely, local well-posedness is proved…

math.AP2022★ 22 cited

Existence, structure, and robustness of ground states of a NLSE in 3D with a point defect

Riccardo Adami, Filippo Boni, Raffaele Carlone +1

We study the ground states for the Schrödinger equation with a focusing nonlinearity and a point interaction in dimension three. We establish that ground states exist for every val…