2 papers
math.DG2025
Reilly inequality for Varifolds
Jean-François Grosjean, Antoine Lemenant, Rémy Mougenot
The famous Reilly inequality gives an upper bound for the first eigenvalue of the Laplacian defined on compact submanifolds of the Euclidean space in terms of the -norm of the…
math.AP2025
Boundary regularity for the polyharmonic Dirichlet problem
Antoine Lemenant, Rémy Mougenot
In this paper we prove that any solution of the -polyharmonic Poisson equation in a Reifenberg-flat domain with homogeneous Dirichlet boundary condition, is $\mathscr{C}^{m-1,α…