2 papers
math.CA2016
Maximizers for the Stein-Tomas inequality
Rupert L. Frank, Elliott H. Lieb, Julien Sabin
We give a necessary and sufficient condition for the precompactness of all optimizing sequences for the Stein-Tomas inequality. In particular, if a well-known conjecture about the…
math-ph2012
Charge renormalization and static electron/positron pair production for a nonlinear Dirac model with weak interactions
Julien Sabin
The Hartree-Fock approximation of Quantum Electrodynamics provides a rigorous framework for the description of relativistic electrons in external fields. This nonlinear model takes…