141 citations · 696 across the 45 of their papers we have counts for
3 papers · 1 filter
Improved interpolation inequalities and stability
Jean Dolbeault, Maria J. Esteban
For exponents in the subcritical range, we revisit some optimal interpolation inequalities on the sphere with carré du champ methods and use the remainder terms to produce improved…
Inequalities involving Aharonov-Bohm magnetic potentials in dimensions 2 and 3
Denis Bonheure, Jean Dolbeault, Maria J. Esteban +2
This paper is devoted to a collection of results on nonlinear interpolation inequalities associated with Schr{ö}dinger operators involving Aharonov-Bohm magnetic potentials, and to…
Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields
Denis Bonheure, Jean Dolbeault, Maria J. Esteban +2
This paper is devoted to the symmetry and symmetry breaking properties of a two-dimensional magnetic Schr{ö}dinger operator involving an Aharonov-Bohm magnetic vector potential. We…