The higher regularity and decay estimates for positive solutions of fractional Choquard equations

DOI10.1112/BLMS.12995OpenAlexW4391607733WikidataQ128291651 ScholiaQ128291651MaRDI QIDQ6203665

Yinbin Deng, Xian Yang

Publication date: 6 April 2024

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms.12995

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• Hitchhiker's guide to the fractional Sobolev spaces
• The Chandrasekhar theory of stellar collapse as the limit quantum mechanics
• Fractional quantum mechanics and Lévy path integrals
• Remarks about a fractional Choquard equation: ground state, regularity and polynomial decay
• Sharp threshold of blow-up and scattering for the fractional Hartree equation
• Multiplicity and concentration behaviour of solutions for a fractional Choquard equation with critical growth
• On fractional Schrödinger equations with Hartree type nonlinearities
• Boson stars as solitary waves
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
• On the Cauchy Problem of Fractional Schrödinger Equation with Hartree Type Nonlinearity
• On singularity formation for theL²-critical Boson star equation
• Ground states for nonlinear fractional Choquard equations with general nonlinearities
• On fractional Choquard equations

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