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math.AP2017
Multiple Aharonov--Bohm eigenvalues: the case of the first eigenvalue on the disk
Laura Abatangelo
It is known that the first eigenvalue for Aharonov--Bohm operators with half-integer circulation in the unit disk is double if the potential's pole is located at the origin. We pro…
math.AP2017
On multiple eigenvalues for Aharonov-Bohm operators in planar domains
Laura Abatangelo, Manon Nys
We study multiple eigenvalues of a magnetic Aharonov-Bohm operator with Dirichlet boundary conditions in a planar domain. In particular, we study the structure of the set of the co…
math.AP2017★ 4 cited
Estimates for eigenvalues of Aharonov-Bohm operators with varying poles and non-half-interger circulation
Laura Abatangelo, Veronica Felli, Benedetta Noris +1
We study the behavior of eigenvalues of a magnetic Aharonov-Bohm operator with non-half-integer circulation and Dirichlet boundary conditions in a planar domain. As the pole is mov…