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math.AP2026
Normalized nonlinear Schrödinger ground states on defected grids with unbounded defects
William Borrelli, Nicolò Cangiotti, Simone Dovetta +1
We study normalized ground states for the nonlinear Schrödinger energy on two-dimensional square grids with unbounded defects. We first show that unbounded defects do not necessari…
math.AP2026
Uniqueness and non-uniqueness of least energy normalized solutions for nonlinear Schrödinger equations on compact metric graphs
Simone Dovetta, Lun Guo
We investigate uniqueness and non-uniqueness of least energy normalized and least energy nodal normalized solutions for nonlinear Schrödinger equations on compact metric graphs. We…
math.AP2026
Existence of optimizers for the sharp stability constant in the logarithmic Sobolev inequality
Simone Dovetta, Enrico Serra
We study the sharp stability constant in the logarithmic Sobolev inequality, defined as the infimum of the logarithmic Sobolev deficit divided by the squared -distance from th…