Continuous dependence for p-Laplace equations with varying operators

For the following Neumann problem in a ball cases -ₚ u+u^p-1=u^q-1&in B, \\ u>0, \, u radial&in B, \\ u =0&on B, cases with 1<p<q<, we prove continuous dependence on p, for radially nondecreasing solutions. As a byproduct, we obtain an existence result for nonconstant solutions in the case p (1, 2) and q larger than an explicit threshold.