Comparison results for nonlinear divergence structure elliptic PDE’s
Yichen Liu, Monica Marras, Giovanni Porru · Advances in Nonlinear Analysis · 2019
Abstract First we prove a comparison result for a nonlinear divergence structure elliptic partial differential equation. Next we find an estimate of the solution of a boundary value problem in a domainΩin terms of the solution of a related symmetric boundary value problem in a ballBhaving the same measure asΩ. For p-Laplace equations, the corresponding result is due to Giorgio Talenti. In a special (radial) case we also prove a reverse comparison result.