141 citations · 696 across the 45 of their papers we have counts for
4 papers · 2 filters
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…
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…
Self-adjointness of Dirac operators via Hardy-Dirac inequalities
Maria J. Esteban, Michael Loss
Distinguished selfadjoint extensions of Dirac operators are constructed for a class of potentials including Coulombic ones up to the critical case, . The method uses Har…
A weighted Moser-Trudinger inequality and its relation to the Caffarelli-Kohn-Nirenberg inequalities in two space dimensions
Jean Dolbeault, Maria J. Esteban, Gabriella Tarantello
We first prove a weighted inequality of Moser-Trudinger type depending on a parameter, in the two-dimensional Euclidean space. The inequality holds for radial functions if the para…