I. A. Minlend

activity

20162022

collaborators

5 papers

math.AP2022

An overdetermined problem for sign-changing eigenfunctions in unbounded domains

Ignace Aristide Minlend

We study the existence of non-trivial unbounded domains of $Ω \subset R^{2}$ where the equation \begin{align} - λu_{xx} -u_{tt} &= u \qquad \text{in $Ω$ ,}\nonumber u &=0 \qqu…

math.AP2021

Unbounded periodic constant mean curvature graphs on Calibrable Cheeger Serrin domains

Ignace Aristide Minlend

We prove a general result characterizing a specific class of Serrin domains as supports of unbounded and periodic constant mean curvature graphs. We apply this result to prove the…

math.AP2020

Overdetermined problems for fully nonlinear equations in space forms

Ignace Aristide Minlend

We study overdetermined problems for fully nonlinear elliptic equations in subdomains $Ø$ of the Euclidean sphere $S^{N}$ and the hyperbolic space $H^{N}$ . We pro…

math.AP2018

Multiply-periodic hypersurfaces with constant nonlocal mean curvature

Ignace Aristide Minlend, Alassane Niang, El Hadji Abdoulaye Thiam

We study hypersurfaces with fractional mean curvature in N-dimensional Euclidean space. These hypersurfaces are critical points of the fractional perimeter under a volume constrain…

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…