On finite energy solutions of fractional order equations of the Choquard type

DOI10.3934/DCDS.2019064zbMath1408.35043OpenAlexW2904252747WikidataQ128740450 ScholiaQ128740450MaRDI QIDQ1725808

Yutian Lei

Publication date: 15 February 2019

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2019064

zbMATH Keywords

finite energy solutionsChoquard equationintegrable solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Fractional partial differential equations (35R11)

Related Items (2)

Normalized solutions for Choquard equations with general nonlinearities ⋮ Ground state solutions for nonlinear Choquard equations with doubly critical exponents

Cites Work

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• Multi-peak positive solutions for a fractional nonlinear elliptic equation
• Sharp criteria of Liouville type for some nonlinear systems
• Multiple solutions to a magnetic nonlinear Choquard equation
• Asymptotic radial symmetry and growth estimates of positive solutions to weighted Hardy-Littlewood-Sobolev system of integral equations
• The Cauchy problem for the Hartree equations under random influences
• A direct method of moving planes for the fractional Laplacian
• Maximum principles for a fully nonlinear fractional order equation and symmetry of solutions
• Regularity of solutions for an integral system of Wolff type
• Regularity of solutions to an integral equation associated with Bessel potential
• On a periodic Schrödinger equation with nonlocal superlinear part
• Nonlinear Schrödinger equations and sharp interpolation estimates
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• An integral system and the Lane-Emden conjecture
• Classification of positive solitary solutions of the nonlinear Choquard equation
• Global well-posedness and scattering for the mass-critical Hartree equation with radial data
• Regularity and classification of solutions to static Hartree equations involving fractional Laplacians
• Remark on some conformally invariant integral equations: the method of moving spheres
• Fast decay estimates for integrable solutions of the Lane-Emden type integral systems involving the Wolff potentials
• Intertwining semiclassical solutions to a Schrödinger-Newton system
• On the regularity of positive solutions of a class of Choquard type equations
• Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains
• Scattering threshold for the focusing nonlinear Klein-Gordon equation
• Multiple solutions for nonhomogeneous Choquard equation involving Hardy-Littlewood-Sobolev critical exponent
• Radial symmetry and monotonicity for an integral equation
• Quantitative analysis of some system of integral equations
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
• Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities
• Uniqueness of Positive Bound States to Schrödinger Systems with Critical Exponents
• The Choquard equation and related questions
• Weakly Differentiable Functions
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Qualitative Analysis for the Static Hartree-Type Equations
• Maximum principles and Bôcher type theorems
• Classification of solutions for an integral equation

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