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math.SP2022★ 1 cited
Isoperimetric inequalities for the magnetic Neumann and Steklov problems with Aharonov-Bohm magnetic potential
Bruno Colbois, Luigi Provenzano, Alessandro Savo
We discuss isoperimetric inequalities for the magnetic Laplacian on bounded domains of endowed with an Aharonov-Bohm potential. When the flux of the potential around…
math.SP2020
Lower bounds for the first eigenvalue of the Laplacian with zero magnetic field in planar domains
Bruno Colbois, Alessandro Savo
We study the Laplacian with zero magnetic field acting on complex functions of a planar domain , with magnetic Neumann boundary conditions. If is simply connected then the s…