Small linear perturbations of fractional Choquard equations with critical exponent

DOI10.1016/j.jde.2021.02.017zbMath1464.35082OpenAlexW3132118065MaRDI QIDQ2656252

Vicenţiu D. Rădulescu, Xiao-Ming He

Publication date: 11 March 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2021.02.017

zbMATH Keywords

critical exponentconcentration-compactnessglobal compactnessfractional Choquard equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Variational methods for second-order elliptic equations (35J20)

Related Items (22)

Multiplicity and concentration of solutions for fractional Kirchhoff–Choquard equation with critical growth ⋮ Existence and concentration of ground-states for fractional Choquard equation with indefinite potential ⋮ Normalized ground states for the critical fractional Choquard equation with a local perturbation ⋮ Normalized solutions for the fractional Choquard equations with Hardy-Littlewood-Sobolev upper critical exponent ⋮ Normalized solutions for a critical fractional Choquard equation with a nonlocal perturbation ⋮ On nonlinear fractional Choquard equation with indefinite potential and general nonlinearity ⋮ Existence and multiplicity results for a doubly nonlocal equation with critical growth ⋮ Supersolutions to nonautonomous Choquard equations in general domains ⋮ Infinitely many solutions for \(p\)-fractional Choquard type equations involving general nonlocal nonlinearities with critical growth via the concentration compactness method ⋮ Semi-classical states for the Choquard equations with doubly critical exponents: Existence, multiplicity and concentration ⋮ Multiplicity of semiclassical solutions for fractional Choquard equations with critical growth ⋮ Normalized ground states for the fractional Schrödinger-Poisson system with critical nonlinearities ⋮ Bound states of fractional Choquard equations with Hardy-Littlewood-Sobolev critical exponent ⋮ Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains ⋮ Groundstates for Choquard type equations with weighted potentials and Hardy-Littlewood-Sobolev lower critical exponent ⋮ Unnamed Item ⋮ Fractional Kirchhoff-Choquard equation involving Schrödinger term and upper critical exponent ⋮ Fractional Sobolev space on time scales and its application to a fractional boundary value problem on time scales ⋮ Multiple positive bound state solutions for fractional Schrödinger-Poisson system with critical growth ⋮ Multiplicity of solutions for a class of upper critical Choquard equation with steep potential well ⋮ Global attractors of the degenerate fractional Kirchhoff wave equation with structural damping or strong damping ⋮ Existence and asymptotic behavior of ground states for Choquard-Pekar equations with Hardy potential and critical reaction

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