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math.AP2022
Sharp inequalities for Neumann eigenvalues on the sphere
Dorin Bucur, Eloi Martinet, Mickaël Nahon
We prove that the second nontrivial Neumann eigenvalue of the Laplace-Beltrami operator on the unit sphere is maximized by the union of tw…
math.AP2022
Boundary behavior of Robin problems in non-smooth domains
Dorin Bucur, Alessandro Giacomini, Mickaël Nahon
We analyze strict positivity at the boundary for nonnegative solutions of Robin problems in general (non-smooth) domains, e.g. open sets with rectifiable topological boundaries hav…