Two dimensional NLS ground states with attractive Coulomb potential and point interaction (Q6635942)

scientific article; zbMATH DE number 7941653

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English	Two dimensional NLS ground states with attractive Coulomb potential and point interaction	scientific article; zbMATH DE number 7941653

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title

Two dimensional NLS ground states with attractive Coulomb potential and point interaction (English)

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Journal of Differential Equations

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publication date

12 November 2024

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Existence, structure, and robustness of ground states of a NLSE in 3D with a point defect

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Ground states for the planar NLSE with a point defect as minimizers of the constrained energy

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Constrained energy minimization and ground states for NLS with point defects

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On some inequalities for the gamma and psi functions

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Existence and uniqueness of positive solutions of semilinear elliptic equations with Coulomb potentials on \({\mathbb{R}}^ 3\)

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Stability of the two-dimensional Brown–Ravenhall operator

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A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

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Well posedness of the nonlinear Schrödinger equation with isolated singularities

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Soliton-defect collisions in the nonlinear Schrödinger equation

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Orbital stability of standing waves for some nonlinear Schrödinger equations

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Self-adjoint extensions of Coulomb systems in 1, 2 and 3 dimensions

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On Schrödinger operators with inverse square potentials on the half-line

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On radial Schrödinger operators with a Coulomb potential

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On nonlinear Schrödinger equations with attractive inverse-power potentials

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Action versus energy ground states in nonlinear Schrödinger equations

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On the two-dimensional Coulomb-like potential with a central point interaction

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Sharp sobolev embeddings and related hardy inequalities: The critical case

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Uniqueness and nondegeneracy of ground states for nonlinear Schrödinger equations with attractive inverse-power potential

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On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction

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Nonlinear Schrödinger equation with a point defect

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A free particle on a circle with point interaction

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Discrete spectra for critical Dirac-Coulomb Hamiltonians

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Hydrogenoid spectra with central perturbations

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Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians

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Standing waves and global well-posedness for the 2d Hartree equation with a point interaction

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Stability theory of solitary waves in the presence of symmetry. I

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Fast soliton scattering by delta impurities

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On global minimizers for a mass constrained problem

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Derivation of the time dependent Gross-Pitaevskii equation in two dimensions

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Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics

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Orbital stability of standing waves for Schrödinger type equations with slowly decaying linear potential

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Derivation of the nonlinear Schrödinger equation with a general nonlinearity and Gross–Pitaevskii hierarchy in one and two dimensions

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A nonlinear Schrödinger equation with Coulomb potential

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Q4066072

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Identifiers

DOI

10.1016/j.jde.2024.08.076

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:6635942