Multiplicity and concentration behaviour of solutions for a fractional Choquard equation with critical growth
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Publication:2035488
DOI10.1515/anona-2020-0151zbMath1466.35304OpenAlexW3110013084MaRDI QIDQ2035488
Publication date: 24 June 2021
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anona-2020-0151
Singular perturbations in context of PDEs (35B25) Critical exponents in context of PDEs (35B33) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) PDEs in connection with quantum mechanics (35Q40) Fractional partial differential equations (35R11)
Related Items (21)
Multiplicity and concentration of solutions for fractional Kirchhoff–Choquard equation with critical growth ⋮ Nonlinear Choquard equations on hyperbolic space ⋮ Asymptotic behavior of ground states for a fractional Choquard equation with critical growth ⋮ Existence and concentration of ground-states for fractional Choquard equation with indefinite potential ⋮ Existence and asymptotical behavior of multiple solutions for the critical Choquard equation ⋮ Normalized ground states for the critical fractional Choquard equation with a local perturbation ⋮ On fractional Schrödinger equations with Hartree type nonlinearities ⋮ Existence of ground state solutions for critical fractional Choquard equations involving periodic magnetic field ⋮ Existence and multiplicity of normalized solutions for a class of fractional Schrödinger–Poisson equations ⋮ On nonlinear fractional Choquard equation with indefinite potential and general nonlinearity ⋮ Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions ⋮ On nonlinear fractional Schrödinger equations with indefinite and Hardy potentials ⋮ The higher regularity and decay estimates for positive solutions of fractional Choquard equations ⋮ 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 ⋮ Multiplicity and concentration of nontrivial nonnegative solutions for a fractional Choquard equation with critical exponent ⋮ Semiclassical states of fractional Choquard equations with exponential critical growth ⋮ Multiple positive solutions for fractional Schrödinger-Poisson system with doubly critical exponents ⋮ Global attractors of the degenerate fractional Kirchhoff wave equation with structural damping or strong damping ⋮ On the singularly perturbation fractional Kirchhoff equations: critical case
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