Normalized solutions to fractional Schrödinger equation with potentials (Q6149432)

scientific article; zbMATH DE number 7800045

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English	Normalized solutions to fractional Schrödinger equation with potentials	scientific article; zbMATH DE number 7800045

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instance of

scholarly article

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title

Normalized solutions to fractional Schrödinger equation with potentials (English)

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Discrete and Continuous Dynamical Systems. Series S

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publication date

5 February 2024

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zbMATH Keywords

fractional nonlinear Schrödinger equation

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existence of a normalized solution

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variational methods

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.3934/dcdss.2023188

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cites work

An Extension Problem Related to the Fractional Laplacian

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Orbital stability of standing waves for some nonlinear Schrödinger equations

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Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity

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Bound state for the fractional Schrödinger equation with unbounded potential

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Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation

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Local mountain passes for semilinear elliptic problems in unbounded domains

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Existence, non-existence and blow-up behaviour of minimizers for the mass-critical fractional non-linear Schrödinger equations with periodic potentials

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Hitchhiker's guide to the fractional Sobolev spaces

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Existence of normalized solutions for nonlinear fractional Schrödinger equations with trapping potentials

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential

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Uniqueness of Radial Solutions for the Fractional Laplacian

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Boson stars as solitary waves

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Stable standing waves of nonlinear Schrödinger equations with potentials and general nonlinearities

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Nonlinear fractional Schrödinger equations in one dimension

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Existence of solutions with prescribed norm for semilinear elliptic equations

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Multiple normalized solutions for a Sobolev critical Schrödinger equation

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On the continuum limit for discrete NLS with long-range lattice interactions

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Fractional quantum mechanics and Lévy path integrals

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Normalized solutions to the fractional Schrödinger equations with combined nonlinearities

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On a class of nonlinear Schrödinger equations

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

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On fractional Schrödinger equations in ${\mathbb R}^N$ without the Ambrosetti-Rabinowitz condition

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Stable standing waves of nonlinear Schrödinger equations with a general nonlinear term

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Normalized ground states for the NLS equation with combined nonlinearities

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Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case

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On concentration of positive bound states of nonlinear Schrödinger equations

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A new deduction of the strict sub-additive inequality and its application: ground state normalized solution to Schrödinger equations with potential.

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Identifiers

Mathematics Subject Classification ID

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10.3934/DCDSS.2023188

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Sitelinks

Mathematics(1 entry)

mardi Publication:6149432