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Overdetermined elliptic problems in onduloid-type domains with general nonlinearities
dc.contributor.author | Ruiz Aguilar, David | |
dc.contributor.author | Sicbaldi, Pieralberto | |
dc.contributor.author | Wu, Jing | |
dc.date.accessioned | 2022-10-19T12:03:25Z | |
dc.date.available | 2022-10-19T12:03:25Z | |
dc.date.issued | 2021-07-23 | |
dc.identifier.citation | 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] | es_ES |
dc.identifier.uri | https://hdl.handle.net/10481/77400 | |
dc.description.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. | es_ES |
dc.description.sponsorship | Spanish Government MTM2017-89677-P FQM-116 | es_ES |
dc.description.sponsorship | China Scholarship Council CSC201906290013 | es_ES |
dc.description.sponsorship | Ministry of Science and Innovation, Spain (MICINN) PGC2018-096422-B-I00 | es_ES |
dc.description.sponsorship | J. Andalucia CEX2020-001105-M P18-FR-4049 A-FQM-139-UGR18 | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Elsevier | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Overdetermined boundary conditions | es_ES |
dc.subject | Semilinear elliptic problems | es_ES |
dc.subject | Bifurcation theory | es_ES |
dc.title | Overdetermined elliptic problems in onduloid-type domains with general nonlinearities | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.identifier.doi | 10.1016/j.jfa.2022.109705 | |
dc.type.hasVersion | info:eu-repo/semantics/submittedVersion | es_ES |