Concentration phenomena for fractional magnetic NLS equations (Q5070604)

scientific article; zbMATH DE number 7506947

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English	Concentration phenomena for fractional magnetic NLS equations	scientific article; zbMATH DE number 7506947

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instance of

scholarly article

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title

Concentration phenomena for fractional magnetic NLS equations (English)

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zbMATH Open document ID

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Proceedings of the Royal Society of Edinburgh: Section A Mathematics

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publication date

13 April 2022

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full work available at URL

https://arxiv.org/abs/2105.04343

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Mathematics Subject Classification ID

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fractional magnetic operators

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Ljusternik-Schnirelman theory

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variational methods

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MaRDI profile type

MaRDI publication profile

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

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Dual variational methods in critical point theory and applications

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

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On a fractional magnetic Schrödinger equation in \(\mathbb{R}\) with exponential critical growth

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Concentration phenomena for a fractional Choquard equation with magnetic field

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Multiple concentrating solutions for a fractional Kirchhoff equation with magnetic fields

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Existence and concentration of nontrivial solutions for a fractional magnetic Schrödinger-Poisson type equation

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A local mountain pass approach for a class of fractional NLS equations with magnetic fields

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Nonlinear fractional magnetic Schrödinger equation: existence and multiplicity

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A semilinear Schrödinger equation in the presence of a magnetic field

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Schrödinger operators with magnetic fields. I: General interactions

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Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology

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Nonlocal diffusion and applications

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On the Schrödinger equation involving a critical Sobolev exponent and magnetic field

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Semiclassical limit for nonlinear Schrödinger equations with electromagnetic fields

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Concentrating standing waves for the fractional nonlinear Schrödinger equation

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Ground states for fractional magnetic operators

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A Hopf's lemma and a strong minimum principle for the fractional \(p\)-Laplacian

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Spectrum of the fractional \(p\)-Laplacian in \(\mathbb{R}^N\) and decay estimate for positive solutions of a Schrödinger equation

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Local mountain passes for semilinear elliptic problems in unbounded domains

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Hitchhiker's guide to the fractional Sobolev spaces

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Fractional Elliptic Problems with Critical Growth in the Whole of ℝn

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On the variational principle

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Q3480488

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Ground states and concentration phenomena for the fractional Schrödinger equation

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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Multiplicity and concentration behavior of positive solutions for a Schrödinger–Kirchhoff type problem<i>via</i>penalization method

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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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Multiplicity results for magnetic fractional problems

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Kato's inequality for magnetic relativistic Schrödinger operators

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Magnetic Relativistic Schrödinger Operators and Imaginary-time Path Integrals

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Schrödinger operators with singular potentials

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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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A critical fractional Choquard–Kirchhoff problem with magnetic field

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

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New characterizations of magnetic Sobolev spaces

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

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On a class of nonlinear Schrödinger equations

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Regularity of the obstacle problem for a fractional power of the laplace operator

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Bourgain-Brézis-Mironescu formula for magnetic operators

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The nonlinear Schrödinger equation. Self-focusing and wave collapse

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Q2995197

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Minimax theorems

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Sitelinks

Mathematics(1 entry)

mardi Publication:5070604