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math.AP2023★ 2 cited
On Pleijel's nodal domain theorem for the Robin problem
Asma Hassannezhad, David Sher
We prove an improved Pleijel nodal domain theorem for the Robin eigenvalue problem. In particular we remove the restriction, imposed in previous work, that the Robin parameter be n…
math.AP2021
Nodal count for Dirichlet-to-Neumann operators with potential
Asma Hassannezhad, David Sher
We consider Dirichlet-to-Neumann operators associated to on a Lipschitz domain in a smooth manifold, where is an potential. We prove a Courant-type bound for…