Multiplicity of normalized solutions for the fractional Schrödinger-Poisson system with doubly critical growth (Q6152127)

scientific article; zbMATH DE number 7815381

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English	Multiplicity of normalized solutions for the fractional Schrödinger-Poisson system with doubly critical growth	scientific article; zbMATH DE number 7815381

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instance of

scholarly article

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title

Multiplicity of normalized solutions for the fractional Schrödinger-Poisson system with doubly critical growth (English)

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Acta Mathematica Scientia. Series B. (English Edition)

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publication date

11 March 2024

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zbMATH Keywords

fractional Schrödinger-Poisson system

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normalized solutions

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variational methods

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\(L^2\)-subcritical

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\(L^2\)-supercritical

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s10473-024-0313-x

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cites work

Q4826746

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Normalized solutions for the fractional NLS with mass supercritical nonlinearity

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Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity

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Existence of normalized solutions for nonlinear fractional Schrödinger equations with trapping potentials

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Ground states for critical fractional Schrödinger‐Poisson systems with vanishing potentials

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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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Ground state solution for a class of Schrödinger-Poisson-type systems with partial potential

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Existence and concentration of ground state solutions for doubly critical Schrödinger-Poisson-type systems

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Nontrivial solution for Schrödinger-Poisson equations involving the fractional Laplacian with critical exponent

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Existence and instability of normalized standing waves for the fractional Schrödinger equations in the <i>L</i>2-supercritical case

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Uniqueness of Radial Solutions for the Fractional Laplacian

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Dynamical collapse of white dwarfs in Hartree- and Hartree-Fock theory

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Positive solutions for fractional Schrödinger-Poisson systems with doubly critical exponents

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The Benci-Cerami problem for the fractional Choquard equation with critical exponent

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Ground state sign-changing solutions for a class of nonlinear fractional Schrödinger-Poisson system in \(\mathbb{R}^3\)

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Existence of solutions with prescribed norm for semilinear elliptic equations

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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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Well-posedness for semi-relativistic Hartree equations of critical type

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Existence and multiplicity of positive solutions to Schrödinger-Poisson type systems with critical nonlocal term

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Existence of positive solutions to Schrödinger–Poisson type systems with critical exponent

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Normalized solutions for the fractional Schrödinger equation with a focusing nonlocal perturbation

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Normalized solutions to the fractional Schrödinger equations with combined nonlinearities

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Positive solutions of an asymptotically periodic Schrödinger-Poisson system with critical exponent

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The existence and multiplicity of the normalized solutions for fractional Schrödinger equations involving Sobolev critical exponent in the \(L^2\)-subcritical and \(L^2\)-supercritical cases

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Q2716066

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Ground state solutions for a class of fractional Schrödinger-Poisson system with critical growth and vanishing potentials

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Positive semiclassical states for a fractional Schrödinger-Poisson system.

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Hitchhiker's guide to the fractional Sobolev spaces

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On the number of concentrating solutions of a fractional Schrödinger-Poisson system with doubly critical growth

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Normalized ground states for the NLS equation with combined nonlinearities

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

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Minimax theorems

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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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Normalized ground states for the critical fractional NLS equation with a perturbation

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Identifiers

Mathematics Subject Classification ID

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10.1007/S10473-024-0313-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:6152127