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math.AP2019
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…
math.AP2019
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…