Energy solutions and concentration problem of fractional Schrödinger equation (Q1633731)

scientific article; zbMATH DE number 6996330

Language	Label	Description	Also known as
English	Energy solutions and concentration problem of fractional Schrödinger equation	scientific article; zbMATH DE number 6996330

Statements

instance of

scholarly article

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title

Energy solutions and concentration problem of fractional Schrödinger equation (English)

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Boundary Value Problems

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publication date

20 December 2018

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zbMATH Keywords

fractional Schrödinger equations

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steep potential well

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sublinear perturbation

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infinitely many high or small energy solutions

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concentration of solutions

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1186/s13661-018-0940-z

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cites work

Existence and multiplicity results for some superlinear elliptic problems on RN

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Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential

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Multiplicity and concentration of homoclinic solutions for some second order Hamiltonian systems

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Hitchhiker's guide to the fractional Sobolev spaces

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Q5699297

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Q3408155

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Fractional quantum mechanics and Lévy path integrals

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Variational methods for non-local operators of elliptic type

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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

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Ground state solutions of asymptotically linear fractional Schrödinger equations

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

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Existence of weak solutions for a fractional Schrödinger equation

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Solutions of nonlinear Schrödinger equation with fractional Laplacian without the Ambrosetti-Rabinowitz condition

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Infinitely many radial and non-radial solutions for a fractional Schrödinger equation

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Multiple solutions of nonlinear Schrödinger equation with the fractional Laplacian

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Existence of solutions for fractional Schrodinger equation with asymptotica- lly periodic terms

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Elliptic problems involving the fractional Laplacian in $\mathbb R^N$

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Infinitely many solutions of quasilinear Schrödinger equation with sign-changing potential

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Existence and stability of standing waves for nonlinear fractional Schrödinger equations with Hartree type nonlinearity

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Symmetry results for systems involving fractional Laplacian

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Positive solutions of fractional elliptic equation with critical and singular nonlinearity

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Positive solutions of a singular fractional boundary value problem with a fractional boundary condition

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Ground state solutions of scalar field fractional Schrödinger equations

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Variational Methods for Nonlocal Fractional Problems

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

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Ground states for fractional Schrödinger equations involving a critical nonlinearity

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Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials

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Concentrating standing waves for the fractional nonlinear Schrödinger equation

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Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum

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Ground states and concentration phenomena for the fractional Schrödinger equation

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Multiplicity and concentration of solutions for fractional Schrödinger equation with sublinear perturbation and steep potential well

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Mountain pass solutions for non-local elliptic operators

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Variant fountain theorems and their applications

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Minimax theorems

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Identifiers

zbMATH Open document ID

1483.35322

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Mathematics Subject Classification ID

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10.1186/S13661-018-0940-Z

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Sitelinks

Mathematics(1 entry)

mardi Publication:1633731