@misc{10481/83093,
year = {2023},
month = {6},
url = {https://hdl.handle.net/10481/83093},
abstract = {We study the geometry of complete immersed surfaces in R3 with constant anisotropic mean curvature (CAMC). Assuming that the anisotropic functional is uniformly elliptic, we prove that: (1) planes and CAMC cylinders are the only complete surfaces with CAMC whose Gauss map image is contained in a closed hemisphere of S2; (2) Any complete surface with non-zero CAMC and whose Gaussian curvature does not change sign is either a CAMC cylinder or the Wulff shape, up to a homothety of R3; and (3) if the Wulff shape W of the anisotropic functional is invariant with respect to three linearly independent reflections in R3, then any properly embedded surface of non-zero CAMC, finite topology and at most one end is homothetic to W.},
organization = {MCIN/AEI /10.13039/501100011033  PID2020-118137GB-I00, CEX2020-
001105-M},
organization = {CARM},
organization = {Fundación Séneca-Agencia de Ciencia y Tecnología Región de Murcia
	21937/PI/22, 88881.133043/2016-01},
organization = {Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
- Brasil (CAPES)},
publisher = {Elsevier},
keywords = {Constant anisotropic mean curvature},
keywords = {Wulff shape},
keywords = {Classification theorems},
keywords = {Multigraph},
title = {Complete surfaces of constant anisotropic mean curvature},
doi = {10.1016/j.aim.2023.109137},
author = {Gálvez López, José Antonio and Mira, Pablo and Tassi, Marcos P.},
}