On fractional Choquard–Kirchhoff equations with subcritical or critical nonlinearities

DOI10.1080/17476933.2021.1998015OpenAlexW3217482656MaRDI QIDQ5883938

Zi-an Fan

Publication date: 17 March 2023

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2021.1998015

zbMATH Keywords

variational methodsNehari manifoldcritical nonlinearitiesfractional Choquard-Kirchhoff equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Quasilinear elliptic equations (35J62) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Cites Work

• Hitchhiker's guide to the fractional Sobolev spaces
• Existence of semiclassical ground state solutions for a generalized Choquard equation
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• Doubly nonlocal system with Hardy-Littlewood-Sobolev critical nonlinearity
• Remarks about a fractional Choquard equation: ground state, regularity and polynomial decay
• Fractional Choquard equation with critical nonlinearities
• Best constants for Sobolev inequalities for higher order fractional derivatives
• Multiplicity of solutions for a class of fractional Choquard-Kirchhoff equations involving critical nonlinearity
• The Nehari manifold for fractional Kirchhoff problems involving singular and critical terms
• Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity
• Infinitely many solutions for Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity
• Multi-bump solutions for Choquard equation with deepening potential well
• The Nehari manifold for a fractional critical Choquard equation involving sign-changing weight functions
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• Ground state solutions for non-autonomous fractional Choquard equations
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Ground states for nonlinear fractional Choquard equations with general nonlinearities
• Existence of groundstates for a class of nonlinear Choquard equations
• The Brezis-Nirenberg result for the fractional Laplacian

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