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…