141 citations · 696 across the 45 of their papers we have counts for
3 papers · 2 filters
Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence
Jean Dolbeault, Maria J. Esteban, Alessio Figalli +2
We prove a sharp quantitative version for the stability of the Sobolev inequality with explicit constants. Moreover, the constants have the correct behavior in the limit of large d…
Which nuclear shape generates the strongest attraction on a relativistic electron? An open problem in relativistic quantum mechanics
Maria J. Esteban, Mathieu Lewin, Eric Séré
In this article we formulate several conjectures concerning the lowest eigenvalue of a Dirac operator with an external electrostatic potential. The latter describes a relativistic…
Hardy-Littlewood-Sobolev and related inequalities: stability
Jean Dolbeault, Maria J. Esteban
The purpose of this text is twofold. We present a review of the existing stability results for Sobolev, Hardy-Littlewood-Sobolev (HLS) and related inequalities. We also contribute…