Abstract
The aim of this paper is to study the symmetry properties of positive solutions of nonlinear elliptic boundary value problems of type$$\begin{gathered}\Delta u+f(|x|, u, \nabla u)=0 \text { in } R^n . \\u(x) \rightarrow 0 \text { as }|x| \rightarrow \infty\end{gathered}$$We employ the moving plane method based on maximum principle on unbounded domains to obtain the result on symmetry.
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