Normalized solutions of supercritical nonlinear fractional Schrödinger equation with potential (Q2054184)

scientific article; zbMATH DE number 7436393

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English	Normalized solutions of supercritical nonlinear fractional Schrödinger equation with potential	scientific article; zbMATH DE number 7436393

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instance of

scholarly article

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title

Normalized solutions of supercritical nonlinear fractional Schrödinger equation with potential (English)

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Communications on Pure and Applied Analysis

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publication date

1 December 2021

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zbMATH Keywords

fractional Schrödinger equation

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existence of a normalized solution

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.3934/cpaa.2021128

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cites work

Normalized solutions for a system of coupled cubic Schrödinger equations on $\mathbb R^3$

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Three nodal solutions of singularly perturbed elliptic equations on domains without topology

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Blowup for fractional NLS

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Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates

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Fractional Schrödinger equations involving potential vanishing at infinity and supercritical exponents

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The effect of concentrating potentials in some singularly perturbed problems

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Bound state for the fractional Schrödinger equation with unbounded potential

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Existence of positive solution for a fractional elliptic equation in exterior domain

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Best constants for Sobolev inequalities for higher order fractional derivatives

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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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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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Existence and instability of normalized standing waves for the fractional Schrödinger equations in the <i>L</i>2-supercritical case

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Uniqueness of radial solutions for the fractional Laplacian

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Properties of ground states of attractive Gross–Pitaevskii equations with multi-well potentials

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

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Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities

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

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Existence of solutions with prescribed norm for semilinear elliptic equations

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

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The Brezis-Nirenberg result for the fractional Laplacian

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Multiplicity and concentration of positive solutions for fractional nonlinear Schrödinger equation

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

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Normalized solutions of higher-order Schrödinger equations

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On supercritical nonlinear Schrödinger equations with ellipse-shaped potentials

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Identifiers

zbMATH Open document ID

1480.35131

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:2054184