@misc{10481/77400,
year = {2021},
month = {7},
url = {https://hdl.handle.net/10481/77400},
abstract = {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.},
organization = {Spanish Government	MTM2017-89677-P	
FQM-116},
organization = {China Scholarship Council	CSC201906290013},
organization = {Ministry of Science and Innovation, Spain (MICINN)	PGC2018-096422-B-I00},
organization = {J. Andalucia	CEX2020-001105-M	
P18-FR-4049	
A-FQM-139-UGR18},
publisher = {Elsevier},
keywords = {Overdetermined boundary conditions},
keywords = {Semilinear elliptic problems},
keywords = {Bifurcation theory},
title = {Overdetermined elliptic problems in onduloid-type domains with general nonlinearities},
doi = {10.1016/j.jfa.2022.109705},
author = {Ruiz Aguilar, David and Sicbaldi, Pieralberto and Wu, Jing},
}