Construct new type solutions for the fractional Schrödinger equation (Q2126799)

scientific article

Language	Label	Description	Also known as
English	Construct new type solutions for the fractional Schrödinger equation	scientific article

Statements

instance of

scholarly article

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title

Construct new type solutions for the fractional Schrödinger equation (English)

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published in

Boundary Value Problems

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publication date

19 April 2022

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zbMATH Keywords

fractional Schrödinger equation

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Lyapunov-Schmidt reduction method

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new type solutions

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MaRDI publication profile

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full work available at URL

https://doi.org/10.1186/s13661-021-01534-5

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cites work

Multiplicity of solutions for fractional Schrödinger systems in ℝ<sup><i>N</i></sup>

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Bound state solutions for the supercritical fractional Schrödinger equation

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Normalized solutions for the fractional NLS with mass supercritical nonlinearity

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Non-local to local transition for ground states of fractional Schrödinger equations on $\mathbb{R}^N$

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Fractional Schrödinger equations involving potential vanishing at infinity and supercritical exponents

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Ground state solutions for fractional Schrödinger equation with variable potential and Berestycki-Lions type nonlinearity

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Existence of solutions to the supercritical Hardy-Littlewood-Sobolev system with fractional Laplacians

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Concentrating standing waves for the fractional nonlinear Schrödinger equation

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Hitchhiker's guide to the fractional Sobolev spaces

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On instability of standing waves for the mass-supercritical fractional nonlinear Schrödinger equation

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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Uniqueness of non-linear ground states for fractional Laplacians in $\mathbb{R}$

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Uniqueness of Radial Solutions for the Fractional Laplacian

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Existence of positive solutions for a class of critical fractional Schrödinger-Poisson system with potential vanishing at infinity

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Infinitely many solutions for a class of sublinear fractional Schrödinger equations with indefinite potentials

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Semiclassical states for fractional Schrödinger equations with critical growth

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Solutions for fractional Schrödinger equation involving critical exponent via local Pohozaev identities

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Bifurcation and multiplicity of positive solutions for nonhomogeneous fractional Schrödinger equations with critical growth

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Ground state solutions of Nehari-Pohozaev type for a fractional Schrödinger-Poisson system with critical growth

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Fractional quantum mechanics and Lévy path integrals

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Normalized solutions for a coupled fractional Schrödinger system in low dimensions

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Existence of nontrivial solutions for fractional Schrödinger equations with electromagnetic fields and critical or supercritical nonlinearity

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Infinitely many positive and sign-changing solutions for nonlinear fractional scalar field equations

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Existence and non-existence of minimizers for Poincaré-Sobolev inequalities

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Recent developments in problems with nonstandard growth and nonuniform ellipticity

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Ground state solutions of scalar field fractional Schrödinger equations

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

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

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Infinitely many positive solutions for the nonlinear Schrödinger equations in $\mathbb R^N$

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Infinitely many solutions for the prescribed scalar curvature problem on $\mathbb S^N$

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Nonlocal Kirchhoff problems with singular exponential nonlinearity

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Multiplicity of semiclassical states for fractional Schrödinger equations with critical frequency

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Existence of solutions for a nonhomogeneous sublinear fractional Schrödinger equation

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Identifiers

zbMATH Open document ID

1487.35411

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DOI

10.1186/s13661-021-01534-5

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2126799