On the spectrum zero problem of nonlinear Dirac equations

PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods applied to PDEs (35A15) Time-dependent Schrödinger equations and Dirac equations (35Q41) Mixed-type systems of PDEs (35M30)

Cites Work

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Solutions to a nonlinear Schrödinger equation with periodic potential and zero on the boundary of the spectrum
On linear instability of solitary waves for the nonlinear Dirac equation
Solutions for periodic Schrödinger equation with spectrum zero and general superlinear nonlinearities
Nonlinear Schrödinger operators with zero in the spectrum
Nonlinear Dirac equations
Critical point theorems for indefinite functionals
On a nonlinear Schrödinger equation with periodic potential
Non trivial \(L^q\) solutions to the Ginzburg-Landau equation
Stationary states of the nonlinear Dirac equation: A variational approach
Generalized linking theorem with an application to a semilinear Schrödinger equation
Ground states for reaction-diffusion equations with spectrum point zero
Spectral stability of small amplitude solitary waves of the Dirac equation with the Soler-type nonlinearity
Dual variational methods and nonvanishing for the nonlinear Helmholtz equation
Existence of solutions for a system of diffusion equations with spectrum point zero
Solutions of nonlinear Dirac equations
On a Schrodinger equation with periodic potential and spectrum point zero
Multiple solutions for a self-consistent Dirac equation in two dimensions
On periodic Hamiltonian elliptic systems with spectrum point zero
Existence of semiclassical solutions for some critical Dirac equation
Stationary States of Dirac--Klein--Gordon Systems with Nonlinear Interacting Terms
Nonlinear Dirac Equation
A semilinear Schrödinger equation with zero on the boundary of the spectrum and exponential growth in ℝ2
Nonlinear Spinor Fields

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