44 citations · 84 across the 29 of their papers we have counts for
3 papers · 2 filters
Boundary regularity for the Poisson equation in reifenberg-flat domains
Antoine Lemenant, Yannick Sire
This paper is devoted to the investigation of the boundary regularity for the Poisson equation $${{cc} -Δu = f & \text{in} Ω u= 0 & \text{on} \partial Ω$$ where belongs to some…
On the extension property of Reifenberg-flat domains
Antoine Lemenant, Emmanouil Milakis, Laura V. Spinolo
We provide a detailed proof of the fact that any domain which is sufficiently flat in the sense of Reifenberg is also Jones-flat, and hence it is an extension domain. We discuss va…
Spectral stability estimates for the Dirichlet and Neumann Laplacian in rough domains
Antoine Lemenant, Emmanouil Milakis, Laura V. Spinolo
In this paper we establish new quantitative stability estimates with respect to domain perturbations for all the eigenvalues of both the Neumann and the Dirichlet Laplacian. Our ma…