Damascelli, Lucio; Pacella, Filomena; Ramaswamy, Mythily Symmetry of ground states of \(p\)-Laplace equations via the moving plane method. (English) Zbl 0937.35050 Arch. Ration. Mech. Anal. 148, No. 4, 291-308 (1999). 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 \(x_0\in {\mathbb{R}}^N\). Reviewer: J.Diblík (Brno) Cited in 1 ReviewCited in 46 Documents MSC: 35J60 Nonlinear elliptic equations 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs Keywords:\(p\)-Laplace equation; positive solutions; moving plane method PDFBibTeX XMLCite \textit{L. Damascelli} et al., Arch. Ration. Mech. Anal. 148, No. 4, 291--308 (1999; Zbl 0937.35050) Full Text: DOI