Renormalized solutions of degenerate elliptic problems (Q870093)

The author deals with a general class of degenerate elliptic problems of the form \[ Au+ g(x,u,Du)= f,\tag{1} \] where \(A\) is a Leray-Lions operator from a weighted Sobolev space into its dual. He extends well-known result to general data \(f\in L^1(\Omega)\) and proves under suitable assumptions on the data of (1) existence and uniqueness of renormalized solution.