Local boundedness of general minimizers with nonstandard growth

We prove the local boundedness of local minimizers of ∫Ωf(x,u,∇u)dx, where ff is subject to the general structural conditions |z|p(x)−b(x)|y|r(x)−g(x)≤f(x,y,z)≤μ|z|p(x)+b(x)|y|r(x)+g(x).|z|p(x)−b(x)|y|r(x)−g(x)≤f(x,y,z)≤μ|z|p(x)+b(x)|y|r(x)+g(x).