Competing nonlinearities in NLS equations as source of threshold phenomena on star graphs
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Publication:2127590
DOI10.1016/j.jfa.2022.109483zbMath1486.35400arXiv2009.06424OpenAlexW3084606974MaRDI QIDQ2127590
Simone Dovetta, Filippo Boni, Riccardo Adami
Publication date: 20 April 2022
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.06424
Variational inequalities (49J40) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Variational methods for second-order elliptic equations (35J20) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Related Items (10)
Existence, structure, and robustness of ground states of a NLSE in 3D with a point defect ⋮ Normalized solutions to mass supercritical Schrödinger equations with negative potential ⋮ Ground states for the planar NLSE with a point defect as minimizers of the constrained energy ⋮ Doubly nonlinear Schrödinger ground states on metric graphs ⋮ Index theorems for graph-parametrized optimal control problems ⋮ NLS ground states on the half-line with point interactions ⋮ A general review on the NLS equation with point-concentrated nonlinearity ⋮ Normalized solutions of L 2-supercritical NLS equations on noncompact metric graphs with localized nonlinearities ⋮ On the notion of ground state for nonlinear Schrödinger equations on metric graphs ⋮ Unnamed Item
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