Existence and concentration results for some fractional Schrödinger equations in RN with magnetic fields (Q5378391)

scientific article; zbMATH DE number 7065344

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English	Existence and concentration results for some fractional Schrödinger equations in RN with magnetic fields	scientific article; zbMATH DE number 7065344

Statements

instance of

scholarly article

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title

Existence and concentration results for some fractional Schrödinger equations in RN with magnetic fields (English)

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author

Vincenzo Ambrosio

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published in

Communications in Partial Differential Equations

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publication date

12 June 2019

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full work available at URL

https://arxiv.org/abs/1801.00199

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zbMATH Keywords

fractional magnetic Kato's inequality

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magnetic fractional Laplacian

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variational methods

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MaRDI profile type

MaRDI publication profile

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cites work

Ground states for fractional magnetic operators

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Magnetic Relativistic Schrödinger Operators and Imaginary-time Path Integrals

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Nonlinear fractional magnetic Schrödinger equation: existence and multiplicity

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Multiplicity results for magnetic fractional problems

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Magnetic BV-functions and the Bourgain-Brezis-Mironescu formula

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The Maz'ya-Shaposhnikova limit in the magnetic setting

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Fractional NLS equations with magnetic field, critical frequency and critical growth

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Schrödinger operators with magnetic fields. I: General interactions

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Q3909512

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Multiple solutions for a semilinear elliptic equation with critical growth and magnetic field

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Multiple Solutions for a Nonlinear Schrödinger Equation with Magnetic Fields

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A semilinear Schrödinger equation in the presence of a magnetic field

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Semiclassical stationary states of nonlinear Schrödinger equations with an external magnetic field.

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Semiclassical states for NLS equations with magnetic potentials having polynomial growths

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Q3480488

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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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Existence and concentration of solution for a class of fractional elliptic equation in $\mathbb {R}^N$ via penalization method

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Multiplicity of positive solutions for a class of fractional Schrödinger equations via penalization method

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Concentrating solutions for a class of nonlinear fractional Schrödinger equations in $\mathbb{R}^N$

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Concentrating standing waves for the fractional nonlinear Schrödinger equation

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Fractional Elliptic Problems with Critical Growth in the Whole of ℝn

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in $\mathbb{R}^N$

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Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities

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Variational Methods for Nonlocal Fractional Problems

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

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Local mountain passes for semilinear elliptic problems in unbounded domains

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On a class of nonlinear Schrödinger equations

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A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations

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An Extension Problem Related to the Fractional Laplacian

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Schrödinger operators with singular potentials

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

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Existence theorems for elliptic equations involving supercritical Sobolev exponent

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Positive solutions for some quasilinear equations with critical and supercritical growth

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Q4764973

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Dual variational methods in critical point theory and applications

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Hitchhiker's guide to the fractional Sobolev spaces

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Minimax theorems

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Mountain pass solutions for the fractional Berestycki-Lions problem

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Kato's inequality for magnetic relativistic Schrödinger operators

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Concentration phenomena for critical fractional Schrödinger systems

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Identifiers

zbMATH Open document ID

1435.35404

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DOI

10.1080/03605302.2019.1581800

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5378391