Existence and concentration result for fractional Choquard equations in \(\mathbb{R}^N\)

Singular perturbations in context of PDEs (35B25) Variational methods applied to PDEs (35A15) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Related Items (2)

Ground states for nonlinear fractional Schrödinger–Poisson systems with general convolution nonlinearities ⋮ Ground state solutions for fractional Choquard-Schrödinger-Poisson system with critical growth

Cites Work

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A guide to the Choquard equation
On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents
Existence of semiclassical ground state solutions for a generalized Choquard equation
Existence and concentration of ground states for a Choquard equation with competing potentials
Existence and multiplicity of solutions for fractional Choquard equations
Fractional Choquard equation with critical nonlinearities
Minimax theorems
Singularly perturbed critical Choquard equations
Multiplicity and concentration results for fractional Choquard equations: doubly critical case
Existence and concentration of positive ground states for a Kirchhoff equation involving critical Sobolev exponent
On fractional Schrödinger systems of Choquard type
Existence and concentration of sign-changing solutions to Kirchhoff-type system with Hartree-type nonlinearity
Standing waves with a critical frequency for nonlinear Choquard equations
Existence results for a doubly nonlocal equation
Choquard-type equations with Hardy-Littlewood-Sobolev upper-critical growth
Existence and concentration of positive solutions for a class of gradient systems
Existence and multiplicity of solutions for nonlinear Schrödinger equations with magnetic field and Hartree type nonlinearities
Multi-bump solutions for Choquard equation with deepening potential well
Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
Investigating the multiplicity and concentration behaviour of solutions for a quasi-linear Choquard equation via the penalization method
Mean field dynamics of boson stars
Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
A strongly indefinite Choquard equation with critical exponent due to the Hardy–Littlewood–Sobolev inequality
On fractional Choquard equations

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