Translation surfaces in the Galilean 3-space G3 have two types according to the isotropic and non-isotropic plane curves. In this paper, we study a translation surface in G3 with a log-linear density and classify such a surface with vanishing weighted mean curvature.
@article{bwmeta1.element.doi-10_1515_math-2017-0043, author = {Dae Won Yoon}, title = {Weighted minimal translation surfaces in the Galilean space with density}, journal = {Open Mathematics}, volume = {15}, year = {2017}, pages = {459-466}, zbl = {06715919}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0043} }
Dae Won Yoon. Weighted minimal translation surfaces in the Galilean space with density. Open Mathematics, Tome 15 (2017) pp. 459-466. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0043/