12 citations · 13 across the 3 of their papers we have counts for
6 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…
Symmetry and symmetry breaking: rigidity and flows in elliptic PDEs
Jean Dolbeault, Maria J. Esteban, Michael Loss +1
The issue of symmetry and symmetry breaking is fundamental in all areas of science. Symmetry is often assimilated to order and beauty while symmetry breaking is the source of many…
Branches of non-symmetric critical points and symmetry breaking in nonlinear elliptic partial differential equations
Jean Dolbeault, Maria J. Esteban
In this paper we study the bifurcation of branches of non-symmetric solutions from the symmetric branch of solutions to the Euler-Lagrange equations satisfied by optimal functions…
Symmetry Breaking of Relativistic Multiconfiguration Methods in the Nonrelativistic Limit
Maria J. Esteban, Mathieu Lewin, Andreas Savin
The multiconfiguration Dirac-Fock method allows to calculate the state of relativistic electrons in atoms or molecules. This method has been known for a long time to provide certai…
An analytical proof of Hardy-like inequalities related to the Dirac operator
J. Dolbeault, M. J. Esteban, M. Loss +1
We prove some sharp Hardy type inequalities related to the Dirac operator by elementary, direct methods. Some of these inequalities have been obtained previously using spectral inf…