Sub-gradient diffusion operator

The paper deals with stationary equation governed by the operator −∇⋅A(x,∇u)=μ in the case where A(x,ξ) is a maximal monotone graph and μ is a Radon measure. Our main interest concerns the typical situation where A(x,.) is defined only in a bounded region of IRn; so that A(x,.) does not satisfy the standard polynomial growth control condition.