Existence and multiplicity results for the fractional magnetic Schrödinger equations with critical growth (Q5000178)

scientific article; zbMATH DE number 7370746

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English	Existence and multiplicity results for the fractional magnetic Schrödinger equations with critical growth	scientific article; zbMATH DE number 7370746

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instance of

scholarly article

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title

Existence and multiplicity results for the fractional magnetic Schrödinger equations with critical growth (English)

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Journal of Mathematical Physics

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publication date

9 July 2021

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zbMATH Keywords

Nehari manifold

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Ekeland's variational principle

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Ljusternick-Schnirelmann theory

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1063/5.0041372

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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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Q3909512

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The Maz'ya-Shaposhnikova limit in the magnetic setting

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On fractional Schr$\ddot{\mbox{o}}$ödinger equation in $\mathbb {R}^{N}$RN with critical growth

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On a class of nonlinear Schrödinger equations

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Ground states for fractional Schrödinger equations with critical growth

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On the existence of solutions for the critical fractional Laplacian 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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Local mountain passes for semilinear elliptic problems in unbounded domains

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

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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 results for some fractional Schrödinger equations in RN with magnetic fields

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Concentrating solutions for a magnetic Schrödinger equation with critical growth

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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 solutions of Schrödinger equations with magnetic fields and critical nonlinearities

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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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Ground states for fractional Schrödinger equations with electromagnetic fields and critical growth

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Multiplicity and concentration results for magnetic relativistic Schrödinger equations

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

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Boundedness and decay of solutions for some fractional magnetic Schrödinger equations in $\mathbb{R}^N$

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Nonlinear fractional magnetic Schrödinger equation: existence and multiplicity

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Q2995197

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Minimax theorems

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Q4272029

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Hitchhiker's guide to the fractional Sobolev spaces

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The concentration-compactness principle in the calculus of variations. The locally compact case. II

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

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

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Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions

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Identifiers

zbMATH Open document ID

1467.81034

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DOI

10.1063/5.0041372

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5000178