3 papers
math.AP2026
Magnetic Neumann problems with Aharonov-Bohm potentials: boundary asymptotics of eigenvalues and splitting phenomena
Veronica Felli, Prasun Roychowdhury, Giovanni Siclari
We study a planar magnetic Schrödinger operator with an Aharonov-Bohm vector potential, under Neumann boundary conditions. Through a gauge transformation, the corresponding eigenv…
math.AP2025
Miminization of the first eigenvalue of the Dirichlet Laplacian with a small volume obstacle
Benedetta Noris, Giovanni Siclari, Gianmaria Verzini
We consider the well-known shape optimization problem with spectral cost: minimizing the first eigenvalue of the Dirichlet Laplacian among all subdomains having prescribed vol…
math.AP2025
Quantitative Spectral Stability for the Robin Laplacian
Veronica Felli, Prasun Roychowdhury, Giovanni Siclari
This paper deals with eigenelements of the Laplacian in bounded domains, under Robin boundary conditions, without any assumption on the sign of the Robin parameter. We quantify the…