Equilibrium of Surfaces in a Vertical Force Field Martínez López, Antonio Martínez Triviño, Antonio Luis ϕ-minimal Elliptic equation Weighted volume functional Funding for open access charge: Universidad de Granada / CBUA. The authors are grateful to Margarita Arias, Jos´e Antonio G´alvez and Francisco Martín for helpful comments during the preparation of this manuscript. In this paper, we study phi-minimal surfaces in R-3 when the function phi is invariant under a two-parametric group of translations. Particularly those which are complete graphs over domains in R-2. We describe a full classification of complete flat-embedded phi-minimal surfaces if phi is strictly monotone and characterize rotational phi-minimal surfaces by its behavior at infinity when phi has a quadratic growth. 2021-12-07T09:24:26Z 2021-12-07T09:24:26Z 2021-11-22 journal article Martínez, A., Martínez-Triviño, A.L. Equilibrium of Surfaces in a Vertical Force Field. Mediterr. J. Math. 19, 3 (2022). [https://doi.org/10.1007/s00009-021-01877-4] http://hdl.handle.net/10481/71912 10.1007/s00009-021-01877-4 eng http://creativecommons.org/licenses/by/3.0/es/ open access Atribución 3.0 España Springer Basel AG