Overdetermined elliptic problems in onduloid-type domains with general nonlinearities Ruiz Aguilar, David Sicbaldi, Pieralberto Wu, Jing Overdetermined boundary conditions Semilinear elliptic problems Bifurcation theory In this paper, we prove the existence of nontrivial unbounded domains omega subset of Rn+1, n >= 1, bifurcating from the straight cylinder BxR (where B is the unit ball of R-n), such that the overdetermined elliptic problem {delta u + f(u) = 0 in omega, u = 0 on & part;omega, & part;(nu)u = constant on & part;omega, has a positive bounded solution. We will prove such result for a very general class of functions f: [0, + infinity) -> R. Roughly speaking, we only ask that the Dirichlet problem in B admits a nondegenerate solution. The proof uses a local bifurcation argument. 2022-10-19T12:03:25Z 2022-10-19T12:03:25Z 2021-07-23 info:eu-repo/semantics/article Published version: David Ruiz, Pieralberto Sicbaldi, Jing Wu, Overdetermined elliptic problems in onduloid-type domains with general nonlinearities, Journal of Functional Analysis, Volume 283, Issue 12, 2022, 109705, ISSN 0022-1236, [https://doi.org/10.1016/j.jfa.2022.109705] https://hdl.handle.net/10481/77400 10.1016/j.jfa.2022.109705 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess Attribution-NonCommercial-NoDerivatives 4.0 Internacional Elsevier