doi:10.26637/mjm301/003

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Paper Title

Radial symmetry of positive solutions for nonlinear elliptic boundary value problems

Authors

D.B. Dhaigude

Article Type

Research Article

Journal

Malaya Journal of Matematik

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DOI

10.26637/mjm301/003

Issue

Volume : 3 | Issue : 1 | Page No : 23-29

Published On

January, 2015

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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.