TITLE:
Some Steiner Symmetry Results in Overdetermined Boundary Value Problem
AUTHORS:
Zhongbo Fang, Anna Wang
KEYWORDS:
Steiner Symmetry, Moving Planes Method, Overdetermined Boundary Value Problem
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.6,
November
24,
2011
ABSTRACT: In this paper, we use the moving planes method to prove that the domain Ω and the solution u are Steiner symmetric if u is a positive solution of the overdetermined boundary value problem in Ω.