Symmetry of ground states of \(p\)-Laplace equations via the moving plane method (Q1806016)

The symmetry properties of positive solutions of the \(p\)-Laplace equation in \({\mathbb{R}}^N\), \(N\geq 2\) are studied with the ground state condition at infinity. By means of a weak comparison principle the main result is proved that a given solution is radially symmetric around some point \(x_0\in {\mathbb{R}}^N\).