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math.AP2025
Spectral properties of symmetrized AMV operators
Manuel Dias, David Tewodrose
The symmetrized Asymptotic Mean Value Laplacian , obtained as limit of approximating operators , is an extension of the classical Euclidean Laplace operator t…
math.AP2024
A note on the maximization of the first Dirichlet eigenvalue for perforated planar domains
Manuel Dias
In this work we prove that given an open bounded set with a boundary, there exists small enough such that for all the maxi…