Radial solutions for Neumann problems involving prescribed mean curvature operator in a ball and in an annular domain

Using topological transversality method together with barrier strip technique and cut-off technique, we obtain new existence and uniqueness results of radial solutions to the Neumann problems involving prescribed mean curvature operator div∇v1+|∇v|2=f|x|,v,dvdrinΩ,∂v∂n=0on∂Ω,where Ω={x∈RN:R1