Normalized ground states for the fractional Schrödinger-Poisson system with critical nonlinearities (Q6190033)

scientific article; zbMATH DE number 7813049

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English	Normalized ground states for the fractional Schrödinger-Poisson system with critical nonlinearities	scientific article; zbMATH DE number 7813049

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instance of

scholarly article

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title

Normalized ground states for the fractional Schrödinger-Poisson system with critical nonlinearities (English)

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Calculus of Variations and Partial Differential Equations

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publication date

5 March 2024

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zbMATH Keywords

fractional critical Sobolev exponent

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Lagrange multiplier

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00526-024-02671-2

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cites work

Q4826746

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Multiple normalized solutions for a competing system of Schrödinger equations

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Normalized solutions of mass supercritical Schrödinger equations with potential

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Normalized solutions for a coupled Schrödinger system

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

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A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

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Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation

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Hitchhiker's guide to the fractional Sobolev spaces

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

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

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Q4272029

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

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Small linear perturbations of fractional Choquard equations with critical exponent

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

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Existence of solutions with prescribed norm for semilinear elliptic equations

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

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A mass supercritical problem revisited

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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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Orbital stability of ground states for a Sobolev critical Schrödinger equation

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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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Fractional quantum mechanics and Lévy path integrals

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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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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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Choquard equations with critical nonlinearities

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

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Q2716066

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Positive semiclassical states for a fractional Schrödinger-Poisson system.

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Q3260749

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

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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

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

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

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Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity

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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/S00526-024-02671-2

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Sitelinks

Mathematics(1 entry)

mardi Publication:6190033