Limit behavior of mass critical Hartree minimization problems with steep potential wells
From MaRDI portal
Publication:4575935
DOI10.1063/1.5025730zbMath1394.35476arXiv1803.09936OpenAlexW2962754030MaRDI QIDQ4575935
No author found.
Publication date: 16 July 2018
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.09936
Existence theories for free problems in two or more independent variables (49J10) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence theories for problems in abstract spaces (49J27) Variational principles of physics (49S05)
Related Items
Normalized saddle solutions for a mass supercritical Choquard equation ⋮ Existence and local uniqueness of normalized peak solutions for a Schrödinger-Newton system ⋮ Non-existence of multi-peak solutions to the Schrödinger-Newton system with \(L^2\)-constraint ⋮ Limit behavior of ground states of 2D binary BECs in steep potential wells
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Energy estimates and symmetry breaking in attractive Bose-Einstein condensates with ring-shaped potentials
- Semi-classical states for the Choquard equation
- On the collapse and concentration of Bose-Einstein condensates with inhomogeneous attractive interactions
- Classification of positive solitary solutions of the nonlinear Choquard equation
- On the prescribed scalar curvature problem in \(\mathbb{R}^N\), local uniqueness and periodicity
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Standing waves with a critical frequency for nonlinear Schrödinger equations
- 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 standing waves for nonlinear Hartree equation with confining potential
- The Choquard equation and related questions
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
- Uniqueness of ground states for nonlinear Hartree equations
- Properties of ground states of attractive Gross–Pitaevskii equations with multi-well potentials
- Constraint minimizers of mass critical Hartree energy functionals: Existence and mass concentration
- Minimal blow-up solutions of mass-critical inhomogeneous Hartree equation
