On the existence and limit behavior of ground states for two coupled Hartree equations

DOI10.1016/j.jde.2022.08.037zbMath1500.35136OpenAlexW4295364685MaRDI QIDQ2087611

Siyu Wang, Miao Du

Publication date: 21 October 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.08.037

zbMATH Keywords

coupled Hartree equationsexistence of ground states

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Energy estimates and symmetry breaking in attractive Bose-Einstein condensates with ring-shaped potentials
• On stability of pseudo-conformal blowup for \(L^{2}\)-critical Hartree NLS
• Nonlinear Schrödinger equations and sharp interpolation estimates
• Classification of positive solitary solutions of the nonlinear Choquard equation
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• The shape of axisymmetric rotating fluid
• Existence of axisymmetric equilibrium figures
• Ground states of two-component attractive Bose-Einstein condensates. I: Existence and uniqueness
• Normalized solutions and asymptotical behavior of minimizer for the coupled Hartree equations
• Solutions of Hartree-Fock equations for Coulomb systems
• Minimax theorems
• On the mass concentration for Bose-Einstein condensates with attractive interactions
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• On the shape of least‐energy solutions to a semilinear Neumann problem
• Properties of ground states of attractive Gross–Pitaevskii equations with multi-well potentials
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• Constraint minimizers of mass critical Hartree energy functionals: Existence and mass concentration
• On the blow-up phenomenon for the mass-critical focusing Hartree equation in R⁴
• Minimal blow-up solutions of mass-critical inhomogeneous Hartree equation

This page was built for publication: On the existence and limit behavior of ground states for two coupled Hartree equations