Radial symmetry of positive solutions for nonlinear elliptic boundary value problems
Abstract
The aim of this paper is to study the symmetry properties of positive solutions of nonlinear elliptic boundary value problems of type Du + f (|x|, u,ru) = 0 in Rn. u(x) ! 0 as |x| ! ¥ 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 problems.
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