I. A. Minlend

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math.AP2025

Shape derivative approach to fractional overdetermined problems

Sidy M. Djitte, Ignace A. Minlend

We use shape derivative approach to prove that balls are the only convex and $C^{1, 1}$ regular domains in which the fractional overdetermined problem \begin{equation*} \left\{\begi…

math.AP2025

An Overdetermined Neumann boundary value problem with a general driving force

Ignace Aristide Minlend, Jing Wu

In this paper, we prove the existence of a family of non trivial compact subdomains $A ~ $ in the manifold $M = R^{N} \times R /2 I ¨ Z, N \geq 2$ for which the overdetermined Neu…

math.AP2024

The Schiffer problem on the cylinder and on the $2$ -sphere

Mouhamed Moustapha Fall, Ignace Aristide Minlend, Tobias Weth

We prove the existence of a family of compact subdomains $I^c ◯$ of the flat cylinder $R^{N} \times R /2 I ¨ Z$ for which the Neumann eigenvalue problem for the La…

Shape derivative approach to fractional overdetermined problems

An Overdetermined Neumann boundary value problem with a general driving force

The Schiffer problem on the cylinder and on the 2-sphere

The Schiffer problem on the cylinder and on the $2$ -sphere