I. A. Minlend

activity

20142025

most citedExistence of Self-Cheeger sets on Riemannian manifolds

5 citations · 7 across the 14 of their papers we have counts for

collaborators

Showing 2016Show all

4 papers · 1 filter

math.AP2016

Serrin's overdetermined problem on the sphere

Mouhamed Moustapha Fall, Ignace Aristide Minlend, Tobias Weth

We study Serrin's overdetermined boundary value problem \begin{equation*} -Δ_{S^N}\, u=1 \quad \text{ in $Ω$ },\qquad u=0, \; \partial_ηu=\textrm{const} \quad \text{on $\partial Ω$ }…

math.DG2016

Existence of Self-Cheeger Sets on Riemannian Manifolds

Ignace Aristide Minlend

Let $(M, g)$ be a compact Riemannian manifold of dimension $N \geq 2$ . We prove the existence of a family $(Ω_{ε})_{ε \in (0, ε_{0})}$ of self-Chee…

math.AP2016

Unbounded periodic solutions to Serrin's overdetermined boundary value problem

Mouhamed Moustapha Fall, Ignace Aristide Minlend, Tobias Weth

We study the existence of nontrivial unbounded domains $Ω$ in $R^{N}$ such that the overdetermined problem $$ -Δu = 1 \quad \text{in $Ω$ }, \qquad u=0, \quad \partial_νu=\tex…

math.DG2016★ 5 cited

Existence of Self-Cheeger sets on Riemannian manifolds

Ignace Aristide Minlend

Let $(M, g)$ be a compact Riemannian manifold of dimension $N \geq 2$ . We prove the existence of a family $(Ω_{ε})_{ε \in (0, ε_{0})}$ of self-Cheeg…