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This paper deals with anisotropic integral functionals of the type I(u; Ω) = Ω f (x, Du(x))dx. We present a monotonicity inequality on the density f (x, ξ) with weight, which guarantees global boundedness of minimizers u with gradient constraints. Mathematics Subject Classification: 49N60fatcat:hxknzfiauze6peqbf3v4eekhxu