Overdetermined elliptic problems in onduloid-type domains with general nonlinearities

D. Ruiz, P. Sicbaldi, J. Wu

In this paper, we prove the existence of nontrivial unbounded domains $\Omega \subset {\mathbb{R}}^{n+1},n\ge 1$, bifurcating from the straight cylinder $B\times \mathbb{R}$ (where $B$ is th…