2 papers
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 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 in the manifold for which the overdetermined Neu…