Existence and orbital stability results for the nonlinear Choquard equation with rotation
From MaRDI portal
Publication:6614210
DOI10.3934/dcds.2024075MaRDI QIDQ6614210
Publication date: 7 October 2024
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Variational inequalities (49J40) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nodal solutions for the Choquard equation
- Multiple solutions to a magnetic nonlinear Choquard equation
- Uniqueness and nondegeneracy of ground states for Choquard equations in three dimensions
- Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency
- Groundstates of the Choquard equations with a sign-changing self-interaction potential
- On the Cauchy problem for nonlinear Schrödinger equations with rotation
- Classification of positive solitary solutions of the nonlinear Choquard equation
- Partial differential equations and the calculus of variations. Essays in honor of Ennio De Giorgi. Volume I and II
- Standing waves for a coupled nonlinear Hartree equations with nonlocal interaction
- Existence of the normalized solutions to the nonlocal elliptic system with partial confinement
- Solutions of Hartree-Fock equations for Coulomb systems
- Stability and instability properties of rotating Bose-Einstein condensates
- Existence and multiplicity of the positive normalized solutions to the coupled Hartree-Fock type nonlocal elliptic system
- Existence and stability of standing waves for nonlinear Schrödinger equations with a critical rotational speed
- Multiplicity, asymptotics and stability of standing waves for nonlinear Schrödinger equation with rotation
- Ground, symmetric and central vortex states in rotating Bose-Einstein condensates
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- Threshold for blowup and stability for nonlinear Schrödinger equation with rotation
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- The Choquard equation and related questions
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- Existence and multiplicity results for some superlinear elliptic problems on RN
- A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas
- Existence of normalized solutions for the coupled Hartree–Fock type system
- Global well-posedness, blow-up and stability of standing waves for supercritical NLS with rotation
This page was built for publication: Existence and orbital stability results for the nonlinear Choquard equation with rotation