Multiple bound state solutions for fractional Choquard equation with Hardy–Littlewood–Sobolev critical exponent

DOI10.1063/5.0013475zbMath1454.81254OpenAlexW3110140532MaRDI QIDQ3386483

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Publication date: 4 January 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0013475

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Critical exponents in context of PDEs (35B33) Electromagnetic interaction; quantum electrodynamics (81V10) NLS equations (nonlinear Schrödinger equations) (35Q55) Many-body theory; quantum Hall effect (81V70) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

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Cites Work

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• Hitchhiker's guide to the fractional Sobolev spaces
• On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Uniqueness of ground states for pseudorelativistic Hartree equations
• The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
• Existence and multiplicity of solutions for fractional Choquard equations
• Fractional Choquard equation with critical nonlinearities
• Minimax theorems
• Singularly perturbed critical Choquard equations
• Fractional Kirchhoff-type equation with Hardy-Littlewood-Sobolev critical exponent
• Uniqueness and nondegeneracy of solutions for a critical nonlocal equation
• Multiplicity of semiclassical states for fractional Schrödinger equations with critical frequency
• Existence and multiplicity of normalized solutions for a class of fractional Choquard equations
• Existence and uniqueness of solutions for Choquard equation involving Hardy-Littlewood-Sobolev critical exponent
• Liouville theorem and classification of positive solutions for a fractional Choquard type equation
• Boson stars as solitary waves
• Ground state solutions for non-autonomous fractional Choquard equations
• Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
• Ground states for nonlinear fractional Choquard equations with general nonlinearities
• Mean field dynamics of boson stars
• Semiclassical states for Choquard type equations with critical growth: critical frequency case ^*
• On fractional Choquard equations
• Effective dynamics for boson stars
• Existence and asymptotic behavior of the least energy solutions for fractional Choquard equations with potential well
• Semiclassical states for fractional Choquard equations with critical frequency