Normalized solutions for a fractional Schrödinger-Poisson system with critical growth (Q6562815)

scientific article; zbMATH DE number 7872135

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English	Normalized solutions for a fractional Schrödinger-Poisson system with critical growth	scientific article; zbMATH DE number 7872135

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instance of

scholarly article

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title

Normalized solutions for a fractional Schrödinger-Poisson system with critical growth (English)

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Calculus of Variations and Partial Differential Equations

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publication date

27 June 2024

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zbMATH Keywords

Schrödinger-Poisson system

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fractional Laplacian

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existence of multiple normalized solutions

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MaRDI profile type

Publication

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cites work

Normalized solutions for a Schrödinger equation with critical growth in \(\mathbb{R}^N\)

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Normalized solutions for a system of coupled cubic Schrödinger equations on \(\mathbb R^3\)

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A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems

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Existence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations

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Scaling properties of functionals and existence of constrained minimizers

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Stable standing waves for a class of nonlinear Schrödinger-Poisson equations

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On finite time blow-up for the mass-critical Hartree equations

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Best constants for Sobolev inequalities for higher order fractional derivatives

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Nonlinear Schrödinger equation in the Bopp-Podolsky electrodynamics: solutions in the electrostatic case

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Existence, non-existence and blow-up behaviour of minimizers for the mass-critical fractional non-linear Schrödinger equations with periodic potentials

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Uniqueness of radial solutions for the fractional Laplacian

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Existence of prescribed \(L^2\)-norm solutions for a class of Schrödinger-Poisson equation

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Existence of solutions with prescribed norm for semilinear elliptic equations

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Sharp nonexistence results of prescribed \(L^2\)-norm solutions for some class of Schrödinger-Poisson and quasi-linear equations

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Multiple normalized solutions for a Sobolev critical Schrödinger-Poisson-Slater equation

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Nonradial normalized solutions for nonlinear scalar field equations

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Fractional quantum mechanics and Lévy path integrals

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Critical Schrödinger-Bopp-Podolsky system with prescribed mass

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Analysis.

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Normalized solutions for fractional Schrödinger-Poisson system with general nonlinearities

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Normalized solutions to the fractional Schrödinger equations with combined nonlinearities

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Multiplicity of normalized solutions for a class of nonlinear Schrödinger-Poisson-Slater equations

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Q4023822

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Variational Methods for Nonlocal Fractional Problems

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Hitchhiker's guide to the fractional Sobolev spaces

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The Brezis-Nirenberg result for the fractional Laplacian

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Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case

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Q5143769

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Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent

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Normalized solutions to the Schrödinger-Poisson-Slater equation with general nonlinearity: mass supercritical case

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Minimax theorems

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Existence and stability of standing waves for nonlinear fractional Schrödinger equations with Hartree type nonlinearity

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Normalized solutions for the fractional Schrödinger equation with a focusing nonlocal <i>L</i>2-critical or <i>L</i>2-supercritical perturbation

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Concentration behavior of ground state solutions for a fractional Schrödinger–Poisson system involving critical exponent

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Existence and multiplicity of normalized solutions for a class of fractional Schrödinger–Poisson equations

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The concentration behavior of ground state solutions for a fractional Schrödinger-Poisson system

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Fractional Schrödinger-Poisson systems with a general subcritical or critical nonlinearity

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Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials

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Identifiers

zbMATH Open document ID

1542.3517

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DOI

10.1007/s00526-024-02749-x

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6562815