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math.SP2019
Optimal unions of scaled copies of domains and Pólya's conjecture
Pedro Freitas, Jean Lagacé, Jordan Payette
Given a bounded Euclidean domain , we consider the sequence of optimisers of the Laplacian eigenvalue within the family consisting of all possible disjoint unions o…
math.AP2019
From Steklov to Neumann via homogenisation
Alexandre Girouard, Antoine Henrot, Jean Lagacé
We study a new link between the Steklov and Neumann eigenvalues of domains in Euclidean space. This is obtained through an homogenisation limit of the Steklov problem on a periodic…