Nonrelativistic limit and nonexistence of stationary solutions of nonlinear Dirac equations
DOI10.1016/j.jde.2023.06.039zbMath1527.35326OpenAlexW4383163693MaRDI QIDQ6073618
Qi Guo, XiaoJing Dong, Yanheng Ding
Publication date: 18 September 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2023.06.039
PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Atomic physics (81V45) Lasers, masers, optical bistability, nonlinear optics (78A60) Time-dependent Schrödinger equations and Dirac equations (35Q41) Mixed-type systems of PDEs (35M30) Applications of Clifford algebras to physics, etc. (15A67)
Cites Work
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- Existence of ground state solutions to Dirac equations with vanishing potentials at infinity
- Existence of stationary states for nonlinear Dirac equations
- Existence of excited states for a nonlinear Dirac field
- A note on the nonrelativistic limit of Dirac operators and spectral concentration
- Solutions of a nonlinear Dirac equation with external fields
- Existence of localized solutions for a classical nonlinear Dirac field
- Properties of infinite dimensional Hamiltonian systems
- A new variational principle for a nonlinear Dirac equation on the Schwarzschild metric
- An overview on linear and nonlinear Dirac equations
- Stationary states of the nonlinear Dirac equation: A variational approach
- Existence and exponential decay of ground-state solutions for a nonlinear Dirac equation
- Nonrelativistic limit and some properties of solutions for nonlinear Dirac equations
- Semiclassical states for Dirac-Klein-Gordon system with critical growth
- On the nonlinear Dirac equation on noncompact metric graphs
- Solutions of nonlinear periodic Dirac equations with periodic potentials
- Existence of nodal solutions for Dirac equations with singular nonlinearities
- Solutions of nonlinear Dirac equations
- Existence of standing waves for Dirac fields with singular nonlinearities
- Periodic solutions of superlinear Dirac equations with perturbations from symmetry
- Nonlinear Spinor Field
- An obstruction for the mean curvature of a conformal immersion 𝑆ⁿ→ℝⁿ⁺¹
- On operator-valued Fourier multiplier theorems
- On decay of solutions to nonlinear Schrödinger equations
- Classical Fourier Analysis
- Variational methods in relativistic quantum mechanics
- STATIONARY STATES OF NONLINEAR DIRAC EQUATIONS WITH GENERAL POTENTIALS
- Nonlinear Dirac Equation on Graphs with Localized Nonlinearities: Bound States and Nonrelativistic Limit
- Multiple solutions for a self-consistent Dirac equation in two dimensions
- Symmetric solutions for a 2D critical Dirac equation
- A Problem in Relativistic Quantum Mechanics
- Nonlinear Spinor Fields
- Perturbation method for a class of nonlinear Dirac equations
- Nonrelativistic limit of the Dirac-Fock equations
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