Uniqueness of the [ϕ, e3]-catenary cylinders by their asymptotic behaviour

Martínez-Triviño, Antonio Luis; Santos, João Paulo dos

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dc.contributor.author	Martínez-Triviño, Antonio Luis	-
dc.contributor.author	Santos, João Paulo dos	-
dc.date.accessioned	2023-08-16T12:25:47Z	-
dc.date.available	2023-08-16T12:25:47Z	-
dc.date.issued	2022-05-22	-
dc.identifier.citation	MARTÍNEZ-TRIVIÑO, Antonio Luis; SANTOS, João Paulo dos. Uniqueness of the [φ,e→3]-catenary cylinders by their asymptotic behaviour. Journal of Mathematical Analysis and Applications, [S.l.], v. 514, n. 2, 126347, 2022. DOI: https://doi.org/10.1016/j.jmaa.2022.126347. Disponível em: https://www.sciencedirect.com/science/article/pii/S0022247X22003614. Acesso em: 09 jul. 2023.	pt_BR
dc.identifier.uri	http://repositorio2.unb.br/jspui/handle/10482/46326	-
dc.language.iso	eng	pt_BR
dc.publisher	Elsevier	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Uniqueness of the [ϕ, e3]-catenary cylinders by their asymptotic behaviour	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Singularidade (Matemática)	pt_BR
dc.subject.keyword	Comportamento assintótico	pt_BR
dc.identifier.doi	https://doi.org/10.1016/j.jmaa.2022.126347	pt_BR
dc.relation.publisherversion	https://www.sciencedirect.com/science/article/pii/S0022247X22003614	-
dc.description.abstract1	We establish a uniqueness result for the [ϕ, e3]-catenary cylinders by their asymptotic behaviour. Well known examples of such cylinders are the grim reaper translating solitons for the mean curvature flow. For such solitons, F. Martín, J. Pérez-García, A. Savas-Halilaj and K. Smoczyk proved that, if Σ is a properly embedded translating soliton with locally bounded genus and C1-asymptotic to two vertical planes, outside a cylinder, then Σ must coincide with some grim reaper translating soliton. In this paper, applying the moving plane method of Alexandrov together with a strong maximum principle for elliptic operators, we increase the family of [ϕ, e3]-minimal graphs where these types of results hold under different assumption of asymptotic behaviour.	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0002-2877-2577	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0002-4102-8726	pt_BR
dc.contributor.affiliation	Universidad de Granada, Departamento de Geometría y Topología	pt_BR
dc.contributor.affiliation	Universidade de Brasília, Departamento de Matemática	pt_BR
dc.description.unidade	Instituto de Ciências Exatas (IE)	pt_BR
dc.description.unidade	Departamento de Matemática (IE MAT)	pt_BR
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