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Symmetry of ground states of \(p\)-Laplace equations via the moving plane method. (English) Zbl 0937.35050

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)

MSC:

35J60 Nonlinear elliptic equations
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
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