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20192023
most citedGround states for the planar NLSE with a point defect as minimizers of the constrained energy

33 citations · 102 across the 8 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.AP2022★ 14 cited

NLS ground states on the half-line with point interactions

Filippo Boni, Raffaele Carlone

We investigate the existence and the uniqueness of NLS ground states of fixed mass on the half-line in the presence of a point interaction at the origin. The nonlinearity is of pow…

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…