Title:	Uniqueness of the [ϕ, e3]-catenary cylinders by their asymptotic behaviour
Authors:	Martínez-Triviño, Antonio Luis Santos, João Paulo dos
metadata.dc.identifier.orcid:	https://orcid.org/0000-0002-2877-2577 https://orcid.org/0000-0002-4102-8726
metadata.dc.contributor.affiliation:	Universidad de Granada, Departamento de Geometría y Topología Universidade de Brasília, Departamento de Matemática
Assunto::	Singularidade (Matemática) Comportamento assintótico
Issue Date:	22-May-2022
Publisher:	Elsevier
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.
Abstract:	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.
metadata.dc.description.unidade:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
DOI:	https://doi.org/10.1016/j.jmaa.2022.126347
metadata.dc.relation.publisherversion:	https://www.sciencedirect.com/science/article/pii/S0022247X22003614
Appears in Collections:	Artigos publicados em periódicos e afins

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