A critical fractional Choquard–Kirchhoff problem with magnetic field (Q5380275)

scientific article; zbMATH DE number 7062418

Language	Label	Description	Also known as
English	A critical fractional Choquard–Kirchhoff problem with magnetic field	scientific article; zbMATH DE number 7062418

Statements

instance of

scholarly article

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title

A critical fractional Choquard–Kirchhoff problem with magnetic field (English)

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author

Mingqi Xiang

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Binlin Zhang

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Vicenţiu D. Rădulescu

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published in

Communications in Contemporary Mathematics

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publication date

4 June 2019

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zbMATH Keywords

Choquard-Kirchhoff equation

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fractional magnetic operator

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variational methods

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critical Sobolev exponent

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MaRDI profile type

MaRDI publication profile

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cites work

Positive solutions for a quasilinear elliptic equation of Kirchhoff type

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Multiple semiclassical solutions for a nonlinear Choquard equation with magnetic field

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Q4826746

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A semilinear Schrödinger equation in the presence of a magnetic field

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Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity

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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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

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Semiclassical limit for nonlinear Schrödinger equations with electromagnetic fields

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Ground states for fractional magnetic operators

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Semiclassical stationary states for nonlinear Schrödinger equations under a strong external magnetic field

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Hitchhiker's guide to the fractional Sobolev spaces

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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On a fractional Kirchhoff-type equation via Krasnoselskii’s genus

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A critical Kirchhoff type problem involving a nonlocal operator

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Multiple solutions for a class of <i>p</i> ( <i>x</i> )-Laplacian equations in involving the critical exponent

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Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term

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Existence and semi-classical limit of the least energy solution to a nonlinear Schrödinger equation with electromagnetic fields

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Fractional quantum mechanics and Lévy path integrals

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Symétrie et compacité dans les espaces de Sobolev

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The concentration-compactness principle in the calculus of variations. The limit case. I

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Existence and concentration behavior of ground state solutions for magnetic nonlinear Choquard equations

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Nonlocal Schrödinger-Kirchhoff equations with external magnetic field

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Variational Methods for Nonlocal Fractional Problems

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Higher nonlocal problems with bounded potential

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Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces

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Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional $p$-Laplacian in $\mathbb R^N$

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Existence and multiplicity of entire solutions for fractional $p$-Kirchhoff equations

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Existence results for Schrödinger-Choquard-Kirchhoff equations involving the fractional $p$-Laplacian

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Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN

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Bourgain-Brézis-Mironescu formula for magnetic operators

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Existence of solitary waves in higher dimensions

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Q2954128

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Existence of solutions for perturbed fractional $p$-Laplacian equations

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A nonhomogeneous fractional $p$-Kirchhoff type problem involving critical exponent in $\mathbb{R}^N$

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Ground states for fractional Schrödinger equations involving a critical nonlinearity

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full work available at URL

https://doi.org/10.1142/s0219199718500049

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Identifiers

zbMATH Open document ID

1416.49012

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DOI

10.1142/S0219199718500049

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5380275