3 papers
math.AP2007
Characterization of the critical magnetic field in the Dirac-Coulomb equation
Jean Dolbeault, Maria J. Esteban, Michael Loss
We consider a relativistic hydrogenic atom in a strong magnetic field. The ground state level depends on the strength of the magnetic field and reaches the lower end of the spectra…
math.AP2007
Super-linear elliptic equation for the Pucci operator without growth restrictions for the data
Maria J. Esteban, Patricio Felmer, Alexander Quaas
In this paper we deal with existence and uniqueness of solution to super-linear problems for the Pucci operator: $$ -\M^+(D^2u)+|u|^{s-1}u=f(x) \quad {in} \RR^n, $$ where and…
math-ph2007
Variational methods in relativistic quantum mechanics
Maria J. Esteban, Mathieu Lewin, Eric séré
This review is devoted to the study of stationary solutions of linear and nonlinear equations from relativistic quantum mechanics, involving the Dirac operator. The solutions are f…