Normalized solutions to the nonlinear Choquard equations with Hardy-Littlewood-Sobolev upper critical exponent

DOI10.1016/J.JMAA.2022.126916OpenAlexW4312054808MaRDI QIDQ2684734

Xudong Shang, Pei Ma

Publication date: 17 February 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126916

zbMATH Keywords

existencenonlinear Choquard equationpertubationnormalized solution

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

Related Items (4)

Normalized solutions for the fractional Choquard equations with Hardy-Littlewood-Sobolev upper critical exponent ⋮ Normalized solutions to the critical Choquard-type equations with weakly attractive potential and nonlocal perturbation ⋮ Normalized solutions for a critical fractional Choquard equation with a nonlocal perturbation ⋮ Normalized bound states for the Choquard equations in exterior domains

Cites Work

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• Nodal solutions for the Choquard equation
• A guide to the Choquard equation
• Choquard equations under confining external potentials
• Mass minimizers and concentration for nonlinear Choquard equations in \({\mathbb R}^N\)
• Classification of positive solitary solutions of the nonlinear Choquard equation
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Existence and concentration of ground states for a Choquard equation with competing potentials
• The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
• Normalized solutions and asymptotical behavior of minimizer for the coupled Hartree equations
• Multiple normalized solutions for a competing system of Schrödinger equations
• On gravity's role in quantum state reduction
• Minimax theorems
• Singularly perturbed critical Choquard equations
• Normalized ground states of the nonlinear Schrödinger equation with at least mass critical growth
• Existence of normalized ground states for the Sobolev critical Schrödinger equation with combined nonlinearities
• Standing waves to upper critical Choquard equation with a local perturbation: multiplicity, qualitative properties and stability
• Orbital stability of ground states for a Sobolev critical Schrödinger equation
• Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case
• Nehari-type ground state solutions for a Choquard equation with doubly critical exponents
• Normalized ground states for the NLS equation with combined nonlinearities
• Normalized solutions to the fractional Schrödinger equations with combined nonlinearities
• Normalized solutions for Choquard equations with general nonlinearities
• Normalized solutions for a class of nonlinear Choquard equations
• Existence and uniqueness of solutions for Choquard equation involving Hardy-Littlewood-Sobolev critical exponent
• Choquard-type equations with Hardy-Littlewood-Sobolev upper-critical growth
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• The existence of positive solutions with prescribed L2-norm for nonlinear Choquard equations
• Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent
• Existence of solutions with prescribed norm for semilinear elliptic equations
• The Choquard equation and related questions
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime
• Nonradial normalized solutions for nonlinear scalar field equations
• Existence of groundstates for a class of nonlinear Choquard equations

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