38 citations · 66 across the 8 of their papers we have counts for
4 papers · 1 filter
Stability of atoms and molecules in an ultrarelativistic Thomas-Fermi-Weizsaecker model
Rafael D. Benguria, Michael Loss, Heinz Siedentop
We consider the zero mass limit of a relativistic Thomas-Fermi-Weizsaecker model of atoms and molecules. We find bounds for the critical nuclear charges that ensure stability.
Hall drift of axisymmetric magnetic fields in solid neutron-star matter
Andreas Reisenegger, Rafael Benguria, Joaquin P. Prieto +2
Hall drift, i. e., transport of magnetic flux by the moving electrons giving rise to the electrical current, may be the dominant effect causing the evolution of the magnetic field…
The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three dimensional upper half-space
Rafael D. Benguria, Rupert L. Frank, Michael Loss
It is shown that the sharp constant in the Hardy-Sobolev-Maz'ya inequality on the three dimensional upper half space is given by the Sobolev constant. This is achieved by a duality…
The effect of a cutoff on pushed and bistable fronts of the reaction diffusion equation
R. D. Benguria, M. C. Depassier, V. Haikala
We give an explicit formula for the change of speed of pushed and bistable fronts of the reaction diffusion equation when a small cutoff is applied at the unstable or metastable eq…