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Blow-up and instability of standing waves for the NLS with a point interaction in dimension two

Zeitschrift für angewandte Mathematik und Physik, 2023-08, Vol.74 (4), Article 162

2023

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Variational properties and orbital stability of standing waves for NLS equation on a star graph

Journal of Differential Equations, 2014-11, Vol.257 (10), p.3738-3777

2014

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Three-Body Hamiltonian with Regularized Zero-Range Interactions in Dimension Three

Annales Henri Poincaré, 2023, Vol.24 (1), p.223-276

2023

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FAST SOLITONS ON STAR GRAPHS

Reviews in mathematical physics, 2011-05, Vol.23 (4), p.409-451

2011

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Expansion of the resolvent in a Feshbach model

Rendiconti di matematica e delle sue applicazioni (1981), 2018-01, Vol.39, p.241-255

2018

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Ground state and orbital stability for the NLS equation on a general starlike graph with potentials

Nonlinearity, 2017-08, Vol.30 (8), p.3271-3303

2017

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Well posedness of the nonlinear Schrödinger equation with isolated singularities

Journal of Differential Equations, 2021-12, Vol.305, p.288-318

2021

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Well–posedness of the three–dimensional NLS equation with sphere–concentrated nonlinearity

Nonlinearity, 2024-12, Vol.37 (1), p.15009

2024

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Stable standing waves for a NLS on star graphs as local minimizers of the constrained energy

Journal of Differential Equations, 2016-05, Vol.260 (10), p.7397-7415

2016

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Failure of scattering for the NLSE with a point interaction in dimension two and three

Nonlinearity, 2023-10, Vol.36 (10), p.5298-5310

2023

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Topology-induced bifurcations for the nonlinear Schrödinger equation on the tadpole graph

Physical review. E, Statistical, nonlinear, and soft matter physics, 2015-01, Vol.91 (1), p.013206-013206, Article 013206

2015

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Nonlinear singular perturbations of the fractional Schrödinger equation in dimension one

Nonlinearity, 2019-08, Vol.32 (8), p.3112-3143

2019

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Constrained energy minimization and orbital stability for the NLS equation on a star graph

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2014-11, Vol.31 (6), p.1289-1310

2014

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On the asymptotic dynamics of a quantum system composed by heavy and light particles

Communications in mathematical physics, 2006-12, Vol.268 (3), p.819-852

2006

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The three-body problem in dimension one: From short-range to contact interactions

Journal of mathematical physics, 2018-07, Vol.59 (7)

2018

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On the structure of critical energy levels for the cubic focusing NLS on star graphs

Journal of physics. A, Mathematical and theoretical, 2012-05, Vol.45 (19), p.192001-7

2012

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The point-like limit for a NLS equation with concentrated nonlinearity in dimension three

Journal of functional analysis, 2017-09, Vol.273 (5), p.1762-1809

2017

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Quadratic Forms for the Fermionic Unitary Gas Model

Reports on mathematical physics, 2012-04, Vol.69 (2), p.131-159

2012

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The NLS Equation in Dimension One with Spatially Concentrated Nonlinearities: the Pointlike Limit

Letters in mathematical physics, 2014-12, Vol.104 (12), p.1557-1570

2014

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Graph-like models for thin waveguides with Robin boundary conditions

Asymptotic analysis, 2010, Vol.70 (3-4), p.199-230

2010

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On the Ground State for the NLS Equation on a General Graph

Advances in Quantum Mechanics, 2017, Vol.18, p.153-167

2017

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Coupling in the singular limit of thin quantum waveguides

Journal of mathematical physics, 2007-03, Vol.48 (3), p.032103-032103-21

2007

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Asymptotic expansion for the wave function in a one-dimensional model of inelastic interaction

Journal of mathematical physics, 2011-02, Vol.52 (2), p.022103-022103-19

2011

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Scattering of a Light Particle by a System of Harmonic Oscillators

Reports on mathematical physics, 2007-06, Vol.59 (3), p.379-388

2007

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Singularly Perturbed Hamiltonians of a Quantum Rayleigh Gas Defined as Quadratic Forms

Potential analysis, 2005-05, Vol.22 (3), p.229-261

2005

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Blow-up and instability of standing waves for the NLS with a point interaction in dimension two

Variational properties and orbital stability of standing waves for NLS equation on a star graph

Three-Body Hamiltonian with Regularized Zero-Range Interactions in Dimension Three

FAST SOLITONS ON STAR GRAPHS

Expansion of the resolvent in a Feshbach model

Ground state and orbital stability for the NLS equation on a general starlike graph with potentials

Well posedness of the nonlinear Schrödinger equation with isolated singularities

Well–posedness of the three–dimensional NLS equation with sphere–concentrated nonlinearity

Stable standing waves for a NLS on star graphs as local minimizers of the constrained energy

Failure of scattering for the NLSE with a point interaction in dimension two and three

Topology-induced bifurcations for the nonlinear Schrödinger equation on the tadpole graph

Nonlinear singular perturbations of the fractional Schrödinger equation in dimension one

Constrained energy minimization and orbital stability for the NLS equation on a star graph

On the asymptotic dynamics of a quantum system composed by heavy and light particles

The three-body problem in dimension one: From short-range to contact interactions

On the structure of critical energy levels for the cubic focusing NLS on star graphs

The point-like limit for a NLS equation with concentrated nonlinearity in dimension three

Quadratic Forms for the Fermionic Unitary Gas Model

The NLS Equation in Dimension One with Spatially Concentrated Nonlinearities: the Pointlike Limit

Graph-like models for thin waveguides with Robin boundary conditions

On the Ground State for the NLS Equation on a General Graph

Coupling in the singular limit of thin quantum waveguides

Asymptotic expansion for the wave function in a one-dimensional model of inelastic interaction

Scattering of a Light Particle by a System of Harmonic Oscillators

Singularly Perturbed Hamiltonians of a Quantum Rayleigh Gas Defined as Quadratic Forms

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