Radial symmetry of positive solutions for nonlinear elliptic boundary value problems
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DOI:
https://doi.org/10.26637/mjm301/003Abstract
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.
Keywords:
Maximum principle, Moving plane method, Semilinear elliptic boundary value problemsMathematics Subject Classification:
35B50, 35B06, 35B09, 35J25- Pages: 23-29
- Date Published: 01-01-2015
- Vol. 3 No. 01 (2015): Malaya Journal of Matematik (MJM)
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- NA
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