Tello Del Castillo, José Ignacio2023-06-202023-06-202003-0610.1016/S0362-546X(03)00053-1https://hdl.handle.net/20.500.14352/49575We study the regularity of the solution to the Reynolds equation for incompressible and compressible fluids when the gap between the lubricated surfaces, “h(x,y)”, presents a discontinuity in a two-dimensional bounded domain. As in the one-dimensional problem studied by Rayleigh, the solution P does not belong to C1(Ω) but we obtain that | P| is bounded, i.e. P W1,∞(Ω).engjournal articlehttp://www.sciencedirect.com/science/journal/0362546Xopen access517.986.6Reynolds equationRegularityElliptic equationsAnálisis matemático1202 Análisis y Análisis Funcional