@misc{10481/71987, year = {2021}, month = {11}, url = {http://hdl.handle.net/10481/71987}, abstract = {We classify cylindrical surfaces in the Euclidean space whose mean curvature is a nth-power of the distance to a reference plane. The generating curves of these surfaces, called n-elastic curves, have a variational characterization as critical points of a curvature energy generalizing the classical elastic energy. We give a full description of such curves obtaining, in some particular cases, closed curves including simple ones.}, organization = {MTM2017-89677-P, MINECO/ AEI/FEDER, UE}, publisher = {Elsevier}, keywords = {Mean curvature}, keywords = {Elastic curve}, keywords = {Curvature energy}, keywords = {Phase space}, title = {Stationary soap films with vertical potentials}, author = {López Camino, Rafael and Pámpano, Álvaro}, }