Serrin's over-determined Problem on Riemannian Manifolds

Mouhamed Moustapha Fall, Ignace Aristide Minlend

Let $(\mathcal{M},g)$ be a compact Riemannian manifold of dimension $N$, $N\ge 2$. In this paper, we prove that there exists a family of domains $(Ω_\varepsilon)_{\varepsilon\in(0…