Author:
Chen Hongbin,Li Rui,Yao Ruofei
Abstract
Abstract
The paper is devoted to the qualitative properties of positive solutions to a semilinear elliptic equation in a planar sub-spherical sector. Under certain range of amplitudes, we prove some monotonicity properties via the method of moving planes. The symmetry properties follow from the uniqueness of the corresponding over-determined problem by Farina and Valdinoci (2013 Am. J. Math.).
Funder
National Natural Science Foundation of China
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
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