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Normalized nonlinear Schrödinger ground states on defected grids with unbounded defects

Borrelli, William et al.
arXiv (All) · Papers
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35q55analysis-of-pdesmathematical-physics
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 necessarily destroy the dimensional crossover, proving its persistence on the half-grid and the quarter-grid. We then consider a
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