Similarity solutions of a boundary layer problem with a negative parameter arising in steady two-dimensional flow for power-law fluids

The paper deals with the similarity solutions of a boundary layer problem, which arises in steady two-dimensional flow for power-law fluids, and which is converted to a boundary value problem including a negative parameter under certain boundary conditions. We establish the existence and uniqueness results for normal convex solutions or generalized convex solutions to the boundary value problem, and give the asymptotic behavior of normal convex solutions at the infinity by applying some new conclusions on a singular integral equation.