article

Title: Rigidity results for elliptic PDEs with uniform limits: an abstract framework with applications

Authors: Alberto Farina and Enrico Valdinoci

Issue: Volume 60 (2011), Issue 1, 121-142

Abstract:

$We provide an abstract framework for a symmetry result arising in a conjecture of G.W. Gibbons and we apply it to the fractional Laplace operator, to the elliptic operators with constant coefficients, to the quasilinear operators, and to elliptic fully nonlinear operators with possible gradient dependence.$