Nontrivial solutions to Serrin's problem in annular domains

Nikola Kamburov, Luciano Sciaraffia

We construct nontrivial smooth bounded domains $\Omega \subseteq {\mathbb{R}}^n$ of the form ${\Omega }_0\setminus {\overline{\Omega }}_1$, bifurcating from annuli, for which there exists a positive soluti…