Existence and uniqueness of periodic solutions for prescribed mean curvature equations without growth restrictions

Using topological transversality method combined with barrier strip technique and modification technique, we obtain new existence and uniqueness results of periodic solutions to prescribed mean curvature equation without growth restrictions of the form [Formula: see text] where [Formula: see text] is continuous and [Formula: see text]-periodic in [Formula: see text]. Meanwhile, we present the applications of our results to the prescribed mean curvature Rayleigh-type equation and the prescribed mean curvature Liénard-type equation.