@misc{10481/61373, year = {2020}, url = {http://hdl.handle.net/10481/61373}, abstract = {Motivated by the large ammount of results obtained for minimal and positive constant mean curvature surfaces in several ambient spaces, the aim of this paper is to obtain half-space theorems for properly immersed surfaces in R3 whose mean curvature is given as a prescribed function of its Gauss map. In order to achieve this purpose, we will study the behavior at in nity of a 1-parameter family of properly embedded annuli that are analogous to the usual minimal catenoids.}, organization = {The author was partially supported by MICINN-FEDER Grant No. MTM2016-80313-P, Junta de AndalucĂ­a Grant No. FQM325 and FPI-MINECO Grant No. BES-2014-067663.}, publisher = {Springer Nature}, keywords = {Prescribed mean curvature}, keywords = {Product space}, keywords = {Rotational surface}, keywords = {Existence of spheres}, keywords = {Delaunay-type classi cation}, title = {Half-space theorems for properly immersed surfaces in R3 with prescribed mean curvature}, author = {Bueno, Antonio}, }