Ground states for the planar NLSE with a point defect as minimizers of the constrained energy
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Publication:2165649
DOI10.1007/s00526-022-02310-8zbMath1497.35398arXiv2109.09482OpenAlexW3201651679WikidataQ114017789 ScholiaQ114017789MaRDI QIDQ2165649
Raffaele Carlone, Lorenzo Tentarelli, Riccardo Adami, Filippo Boni
Publication date: 22 August 2022
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.09482
Variational inequalities (49J40) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Duality theory (optimization) (49N15) Positive solutions to PDEs (35B09) Time-dependent Schrödinger equations and Dirac equations (35Q41) PDEs on manifolds (35R01) Axially symmetric solutions to PDEs (35B07) PDE constrained optimization (numerical aspects) (49M41)
Related Items (8)
On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction ⋮ NLS ground states on the half-line with point interactions ⋮ Failure of scattering for the NLSE with a point interaction in dimension two and three ⋮ A general review on the NLS equation with point-concentrated nonlinearity ⋮ Mini-workshop: Zero-range and point-like singular perturbations: for a spillover to analysis, PDE and differential geometry. Abstracts from the mini-workshop held October 2--8, 2022 ⋮ Blow-up and instability of standing waves for the NLS with a point interaction in dimension two ⋮ Well–posedness of the three–dimensional NLS equation with sphere–concentrated nonlinearity ⋮ Generalised solutions to linear and non-linear Schrödinger-type equations with point defect: Colombeau and non-Colombeau regimes
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