161 citations · 1.1k across the 71 of their papers we have counts for
84 papers
The CKN inequality for spinors: symmetry and symmetry breaking
Jean Dolbeault, Maria J. Esteban, Rupert L. Frank +1
This paper is devoted to Sobolev interpolation inequalities for spinors, with weights of Caffarelli-Kohn-Nirenberg (CKN) type. In view of the corresponding results for scalar funct…
A short review on Improvements and stability for some interpolation inequalities
Jean Dolbeault, Maria J. Esteban, Alessio Figalli +2
In this paper, we present recent stability results with explicit and dimensionally sharp constants and optimal norms for the Sobolev inequality and for the Gaussian logarithmic Sob…
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…
Spectrum for some Quantum Markov semigroups describing -particle systems evolving under a binary collision mechanism
Eric A. Carlen, Michael P. Loss
We compute the spectrum for a class of quantum Markov semigroups describing systems of particle interacting through a binary collision mechanism. These quantum Markov semgroups…
A sharp criterion for zero modes of the Dirac equation
Rupert L. Frank, Michael Loss
It is shown that is a necessary condition for the existence of a nontrivial solution of the Dirac equation $γ\cdot (-i\nabla -A)ψ= 0…
Existence of optimizers in a Sobolev inequality for vector fields
Rupert L. Frank, Michael Loss
We consider the minimization problem corresponding to a Sobolev inequality for vector fields and show that minimizing sequences are relatively compact up to the symmetries of the p…