On nodal solutions of the fractional Choquard equation
type: Item
instance of: scholarly article
title: On nodal solutions of the fractional Choquard equation
author: Ying-Xin Cui
published in: Journal of Mathematical Analysis and Applications
publication date: 2021-04-23T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35K61
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7337434
zbMATH Keywords: fractional Choquard equation
zbMATH Keywords: nodal solution
zbMATH Keywords: odd solution
zbMATH Keywords: Nehari manifold
MaRDI profile type: Publication
full work available at URL: j.jmaa.2021.125152
OpenAlex ID: W3139450151
cites work: Mountain pass solutions for the fractional Berestycki-Lions problem
cites work: On fractional Schrödinger systems of Choquard type
cites work: A concave-convex elliptic problem involving the fractional Laplacian
cites work: Q3966603
cites work: An approach to symmetrization via polarization
cites work: Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
cites work: Multiple solutions to a magnetic nonlinear Choquard equation
cites work: Ground state solutions for non-autonomous fractional Choquard equations
cites work: Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
cites work: Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions
cites work: Semiclassical states for Choquard type equations with critical growth: critical frequency case *
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: On fractional Choquard equations
cites work: Uniqueness and nondegeneracy of solutions for a critical nonlocal equation
cites work: Uniqueness of radial solutions for the fractional Laplacian
cites work: Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
cites work: Nodal solutions for the Choquard equation
cites work: Least action nodal solutions for the quadratic Choquard equation
cites work: Existence of solutions for critical Choquard equations via the concentration-compactness method
cites work: The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
cites work: Fractional quantum mechanics and Lévy path integrals
cites work: The Nehari manifold for a fractional critical Choquard equation involving sign-changing weight functions
cites work: Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
cites work: The Choquard equation and related questions
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. I
cites work: The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
cites work: Fractional Choquard equation with critical nonlinearities
cites work: Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
cites work: Existence of groundstates for a class of nonlinear Choquard equations
cites work: Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent
cites work: A guide to the Choquard equation
cites work: Q5831956
cites work: Quantum computation, entanglement and state reduction
cites work: Odd symmetry of least energy nodal solutions for the Choquard equation
cites work: Limit profiles and uniqueness of ground states to the nonlinear Choquard equations
cites work: Regularity of the obstacle problem for a fractional power of the laplace operator
cites work: Ground states for nonlinear fractional Choquard equations with general nonlinearities
cites work: Choquard equations under confining external potentials
cites work: Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent
cites work: Minimax theorems
cites work: Saddle solutions for the Choquard equation. II
cites work: Saddle solutions for the Choquard equation
cites work: Nodal solutions for a fractional Choquard equation
DOI: 10.1016/J.JMAA.2021.125152
description: scientific article; zbMATH DE number 7337434