Continuous dependence for p-Laplace equations with varying operators

For the following Neumann problem in a ball cases -Δₚ u+uᵖ⁻¹=uq-1&in B,\\ u>0,\,u radial&in B,\\ ∂ u/∂ ν=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.