Álvarez Contreras, JesúsCarrillo Menéndez, José2023-06-202023-06-2019940360-530210.1080/03605309408821072https://hdl.handle.net/20.500.14352/57357We study a problem related to the lubrication with cavitation arising in bearings. This problem was previously studied by {\it G. Bayada} and {\it M. Chambat} [Boll. Unione Mat. Ital., IV. Ser., B 3, 543-557 (1984)]. They stated the problem and proved the existence of solutions; they proved uniqueness of solutions, under regularity assumptions on the free boundary.\par The goal of this paper is to prove comparison and uniqueness of solutions without assuming condition related to the free boundary.journal articlehttp://www.tandfonline.com/doi/abs/10.1080/03605309408821072http://www.tandfonline.com/metadata only access517.9Free boundary problems for PDELubrication theoryVariational methods including variational inequalitiesEcuaciones diferenciales1202.07 Ecuaciones en Diferencias