Existence of ground states solutions for Dirac-Poisson systems

DOI10.1007/s40863-022-00284-1OpenAlexW4210475808WikidataQ122157408 ScholiaQ122157408MaRDI QIDQ6188429

Abderrazek Benhassine

Publication date: 11 January 2024

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-022-00284-1

zbMATH Keywords

variational methodsstrongly indefinite functionalsDirac-Poisson systemground states solutions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On semi-classical limits of ground states of a nonlinear Maxwell-Dirac system
• Multiple solutions for a class of nonperiodic Dirac equations with vector potentials
• Existence and multiplicity of stationary solutions for a class of Maxwell-Dirac system
• Ground state solutions for a class of nonlinear Maxwell-Dirac system
• On a periodic Schrödinger equation with nonlocal superlinear part
• Ground states for nonlinear Maxwell-Dirac system with magnetic field
• Existence and concentration of semiclassical solutions for Hamiltonian elliptic system
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Ground state solutions for the nonlinear Schrödinger-Maxwell equations
• On the existence of solutions for the Schrödinger-Poisson equations
• On Schrödinger-Poisson systems
• On global solutions of the Maxwell-Dirac equations
• On the Maxwell-Dirac equations with zero magnetic field and their solution in two space dimensions
• Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations
• Minimax theorems
• Generalized linking theorem with an application to a semilinear Schrödinger equation
• On ground state solutions for the Schrödinger-Poisson equations with critical growth
• Standing wave solutions of Maxwell-Dirac systems
• 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
• 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
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Nonlinear Spinor Field
• Deformation theorems on non-metrizable vector spaces and applications to critical point theory
• Variational methods in relativistic quantum mechanics
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Homoclinic type solutions for a semilinear elliptic PDE on ℝⁿ
• A solitary wave solution of the Maxwell-Dirac equations
• The stationary Maxwell–Dirac equations
• On nonlinear Dirac equations
• A Cauchy-Schwarz type inequality for bilinear integrals on positive measures
• Semiclassical asymptotics for the Maxwell–Dirac system
• 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
• Nonlinear Spinor Fields

This page was built for publication: Existence of ground states solutions for Dirac-Poisson systems