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We find a solution of the Dirichlet problem for the prescribed mean curvature equation    in Ω with u = 0 on ∂Ω, where Ω is a smooth bounded domain in ℝ N , N ≥ 1 and f : Ω × [0,∞) → ℝ is an unbounded continuous function with oscillatory behavior near the origin.

The Mean Curvature Equation with Oscillating Nonlinearity