TITLE:
Some Symmetry Results for the A-Laplacian Equation via the Moving Planes Method
AUTHORS:
Zhongbo Fang, Anna Wang
KEYWORDS:
Symmetry; A-Laplacian; Moving Planes Method; Overdetermined Boundary Value Problem
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.2 No.6,
November
9,
2012
ABSTRACT: In this paper, we are concerned with a positive solution of the non-homogeneous A-Laplacian equation in an open bounded connected domain. We use moving planes method to prove that the domain is a ball and the solution is radially symmetric.