Bound state solutions for the supercritical fractional Schrödinger equation (Q1985848)

scientific article; zbMATH DE number 7187825

Language	Label	Description	Also known as
English	Bound state solutions for the supercritical fractional Schrödinger equation	scientific article; zbMATH DE number 7187825

Statements

instance of

scholarly article

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title

Bound state solutions for the supercritical fractional Schrödinger equation (English)

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author

Weiwei Ao

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Hardy Chan

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Maria del Mar Gonzalez

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Juncheng Wei

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published in

Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

7 April 2020

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full work available at URL

https://arxiv.org/abs/1805.02915

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zbMATH Keywords

fractional Schrödinger equation

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supercritical nonlinearity

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existence

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MaRDI profile type

Publication

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cites work

Ground state solutions for a fractional Schrödinger equation with critical growth

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On higher-dimensional singularities for the fractional Yamabe problem: a nonlocal mazzeo-pacard program

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Some observations on the Green function for the ball in the fractional Laplace framework

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An Extension Problem Related to the Fractional Laplacian

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Fractional Laplacian in conformal geometry

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Bound state for the fractional Schrödinger equation with unbounded potential

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

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Existence of positive solutions of a semilinear elliptic equation in $\mathbb{R}_+^n$ with a nonlinear boundary condition

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Standing waves for supercritical nonlinear Schrödinger equations

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Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum

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The Supercritical Lane–Emden–Fowler Equation in Exterior Domains

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Fast and slow decay solutions for supercritical elliptic problems in exterior domains

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Isolated singularities for a semilinear equation for the fractional Laplacian arising in conformal geometry

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Unique Continuation Property and Local Asymptotics of Solutions to Fractional Elliptic Equations

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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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On the stability and instability of positive steady states of a semilinear heat equation in ℝn

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Semiclassical states for fractional Schrödinger equations with critical growth

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Positive solutions to the Laplace equation with nonlinear boundary conditions on the half space

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Fractional quantum mechanics and Lévy path integrals

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Principles of Fractional Quantum Mechanics

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On a transcendental equation involving quotients of Gamma functions

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Recent Progress on the Fractional Laplacian in Conformal Geometry

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Ground state solutions of scalar field fractional Schrödinger equations

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Some aspects of nonlinear eigenvalue problems

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The extremal solution for the fractional Laplacian

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The Pohozaev identity for the fractional Laplacian

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Unique Continuation for Fractional Schrödinger Equations with Rough Potentials

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Uniqueness for semilinear elliptic problems: Supercritical growth and domain geometry

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

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.NA.2019.02.002

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Sitelinks

Mathematics(1 entry)

mardi Publication:1985848