Ground state solutions for nonperiodic Dirac equation with superquadratic nonlinearity

DOI10.1063/1.4824132zbMath1284.81134OpenAlexW2008973378MaRDI QIDQ5410913

Wen Zhang, Jian Zhang, Xian Hua Tang

Publication date: 17 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4824132

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (12)

Existence and asymptotics of ground states to the nonlinear Dirac equation with Coulomb potential ⋮ Existence of ground state solutions to Dirac equations with vanishing potentials at infinity ⋮ Existence and multiplicity of solutions for a class of Dirac equations ⋮ 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 ⋮ Existence and exponential decay of ground-state solutions for a nonlinear Dirac equation ⋮ Standing wave solutions of Maxwell-Dirac systems ⋮ On the concentration of semiclassical states for nonlinear Dirac equations ⋮ Stationary solutions for a superlinear Dirac equation ⋮ Ground states for nonlinear Maxwell-Dirac system with magnetic field ⋮ Infinitely many large energy solutions for superlinear Dirac equations

Cites Work

• 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
• Periodic solutions for Hamiltonian systems without Ambrosetti-Rabinowitz condition and spectrum 0
• Ground state solutions for a periodic Schrödinger equation with superlinear nonlinearities
• Solutions for periodic Schrödinger equation with spectrum zero and general superlinear nonlinearities
• Periodic nonlinear Schrödinger equation with application to photonic crystals
• Existence of stationary states for nonlinear Dirac equations
• Existence of excited states for a nonlinear Dirac field
• Semi-classical ground states concentrating on the nonlinear potential for a Dirac equation
• Solutions of a nonlinear Dirac equation with external fields
• Ground state solutions for some indefinite variational problems
• Existence of localized solutions for a classical nonlinear Dirac field
• An overview on linear and nonlinear Dirac equations
• Stationary states of the nonlinear Dirac equation: A variational approach
• Minimax theorems
• Multiple solutions for a superlinear and periodic elliptic system on \({\mathbb{R}^N}\)
• Solutions of nonlinear Dirac equations
• Infinitely many solutions for a class of nonlinear Dirac equations without symmetry
• Existence of standing waves for Dirac fields with singular nonlinearities
• Homoclinic orbits of superlinear Hamiltonian systems
• Nonlinear Spinor Field
• Deformation theorems on non-metrizable vector spaces and applications to critical point theory
• STATIONARY STATES OF NONLINEAR DIRAC EQUATIONS WITH GENERAL POTENTIALS
• Weak Linking Theorems and Schrödinger Equations with Critical Sobolev Exponent
• On a Schrodinger equation with periodic potential and spectrum point zero
• ON SEMICLASSICAL GROUND STATES OF A NONLINEAR DIRAC EQUATION
• Existence and Concentration of Semiclassical Solutions for Dirac Equations with Critical Nonlinearities

This page was built for publication: Ground state solutions for nonperiodic Dirac equation with superquadratic nonlinearity