Article ID Journal Published Year Pages File Type
4624289 Journal of Mathematical Analysis and Applications 2006 10 Pages PDF
Abstract

The location of the unique critical point of Δu=−1 is investigated by conformal mapping method in complex variables. It is found that if the domain is given by r=1+ϵp(θ), the critical point coincides with the center of mass up to the order of ϵ. However, the two do not exactly match in general as shown by simple examples.

Related Topics
Physical Sciences and Engineering Mathematics Analysis