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math.SP2022★ 1 cited
Semiclassical estimates for eigenvalue means of Laplacians on spheres
Davide Buoso, Paolo Luzzini, Luigi Provenzano +1
We compute three-term semiclassical asymptotic expansions of counting functions and Riesz-means of the eigenvalues of the Laplacian on spheres and hemispheres, for both Dirichlet a…
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…