Approximate radial symmetry for p-Laplace equations via the moving planes method

We investigate quasi-symmetry for small perturbations of the Gidas-Ni-Nirenberg problem involving the p-Laplacian and for small perturbations the critical p-Laplace equation for p >2. To achieve these results, we provide a quantitative review of the work by Damascelli & Sciunzi [16] concerning the weak Harnack comparison inequality and the local boundedness comparison inequality. Moreover, we prove a comparison principle for small domains.