Ground states for nonlinear Maxwell-Dirac system with magnetic field
From MaRDI portal
Publication:743222
DOI10.1016/j.jmaa.2014.08.009zbMath1304.35597OpenAlexW2078057650MaRDI QIDQ743222
Wen Zhang, Jian Zhang, Xian Hua Tang
Publication date: 23 September 2014
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.2014.08.009
PDEs in connection with optics and electromagnetic theory (35Q60) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electromagnetic interaction; quantum electrodynamics (81V10) Constrained dynamics, Dirac's theory of constraints (70H45) Maxwell equations (35Q61) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (8)
Fixed point theorems for cyclic contractive mappings via altering distance functions in metric-like spaces ⋮ Ground-state solution for a class of biharmonic equations including critical exponent ⋮ Existence of ground states solutions for Dirac-Poisson systems ⋮ On nonlinear Dirac equations ⋮ Existence and multiplicity of stationary solutions for a class of Maxwell-Dirac system ⋮ Orbital instability of standing waves for the Klein-Gordon-Schrödinger system with quadratic-cubic nonlinearity ⋮ Standing wave solutions of Maxwell-Dirac systems ⋮ Stationary solutions for a superlinear Dirac equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Semi-classical limits of ground states of a nonlinear Dirac equation
- Stationary states for nonlinear Dirac equations with superlinear nonlinearities
- Multiple solutions for a class of nonperiodic Dirac equations with vector potentials
- Existence of stationary states for nonlinear Dirac equations
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Ground state solutions for the nonlinear Schrödinger-Maxwell equations
- Semi-classical ground states concentrating on the nonlinear potential for a Dirac equation
- Solutions of a nonlinear Dirac equation with external fields
- On Schrödinger-Poisson systems
- Existence of localized solutions for a classical nonlinear Dirac field
- On global solutions of the Maxwell-Dirac equations
- On the Maxwell-Dirac equations with zero magnetic field and their solution in two space dimensions
- An overview on linear and nonlinear Dirac equations
- Stationary states of the nonlinear Dirac equation: A variational approach
- Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations
- Minimax theorems
- New conditions on nonlinearity for a periodic Schrödinger equation having zero as spectrum
- Semiclassical solutions of perturbed \(p\)-Laplacian equations with critical nonlinearity
- Stationary solutions of non-autonomous Maxwell-Dirac systems
- On the concentration of semi-classical states for a nonlinear Dirac-Klein-Gordon system
- Solutions of nonlinear Dirac equations
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- On ground state solutions for a superlinear Dirac equation
- Infinitely many solutions for a class of nonlinear Dirac equations without symmetry
- Global solutions of the Cauchy problem for the (classical) coupled Maxwell-Dirac equations in one space dimension
- Positive solutions for some non-autonomous Schrödinger-Poisson systems
- New Super-quadratic Conditions on Ground State Solutions for Superlinear Schrödinger Equation
- Deformation theorems on non-metrizable vector spaces and applications to critical point theory
- STATIONARY STATES OF NONLINEAR DIRAC EQUATIONS WITH GENERAL POTENTIALS
- A solitary wave solution of the Maxwell-Dirac equations
- The stationary Maxwell–Dirac equations
- Semiclassical asymptotics for the Maxwell–Dirac system
- ON SEMICLASSICAL GROUND STATES OF A NONLINEAR DIRAC EQUATION
- Existence and Concentration of Semiclassical Solutions for Dirac Equations with Critical Nonlinearities
- Existence and concentration of semi-classical solutions for a nonlinear Maxwell-Dirac system
- Ground state solutions for nonperiodic Dirac equation with superquadratic nonlinearity
- The cauchy problem for the coupled maxwell and dirac equations
- Properties of the Solutions of the Cauchy Problem for the (Classical) Coupled Maxwell-Dirac Equations in One Space Dimension
This page was built for publication: Ground states for nonlinear Maxwell-Dirac system with magnetic field
