Normalized solutions for a nonlinear Dirac equation

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Existence of solutions for minimax problems (49J35) PDEs in connection with quantum mechanics (35Q40) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Cites Work

Nonlinear scalar field equations. I: Existence of a ground state
The concentration-compactness principle in the calculus of variations. The locally compact case. I
The concentration-compactness principle in the calculus of variations. The locally compact case. II
Orbital stability of standing waves for some nonlinear Schrödinger equations
Minimax characterization of solutions for a semilinear elliptic equation with lack of compactness
Solutions of the Dirac-Fock equations for atoms and molecules
Stationary states of the nonlinear Dirac equation: A variational approach
Minimax theorems
\(L^2\)-normalized solitary wave solutions of a nonlinear Dirac equation
Normalized solutions to mass supercritical Schrödinger equations with negative potential
A normalized solitary wave solution of the Maxwell-Dirac equations
Nonlinear scalar field equations with \(L^2\) constraint: mountain pass and symmetric mountain pass approaches
Solutions of nonlinear Dirac equations
Action versus energy ground states in nonlinear Schrödinger equations
A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
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Variational methods in relativistic quantum mechanics
STATIONARY STATES OF NONLINEAR DIRAC EQUATIONS WITH GENERAL POTENTIALS
Bifurcation for Dirichlet Problems Without Eigenvalues
Ground State for the Relativistic One Electron Atom in a Self-Generated Electromagnetic Field
Nonradial normalized solutions for nonlinear scalar field equations
Normalized Solutions to Strongly Indefinite Semilinear Equations
Normalized solutions for the Klein-Gordon-Dirac system

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