... and so 0 ≤ u1≤ ε ϕεon D. Thereby, the continuity of ϕε in every dense point of the boundary of D and the arbitrariness of ε guarantee thatu1∈ C0D.Finally, we will see that 1.11 ... used in modeling non-Newtonian fluids such as coal slurries 2. The physicalinterest lies in the existence of positive solutions. We are interested in a broad class of singularproblem that includes ... Existence of two ordered solutionsNext, by using Theorem 3.1 which ensures the existence of a solution in the sense of distributions to P, we will deduce, by applying Proposition 2.6, the existence...