演講者：陳志有博士

單　位：國立中央大學數學系

日　期：2010年3月3日　PM 14:30

地　點：國立高雄大學理學院408室

講　題：On the Uniqueness and Structure of Solutions for the Elliptic Equations and System

摘　要：

This talk consists of two parts. First of all, we consider the following semilinear elliptic equation Δu −λu + u p = 0 on Rn \ {0} where n ≥ 3, p > 1 andλ > 0 . We provide the existence and uniqueness of the singular radial solution of the above equation for specific ranges of n and p . In addition, we also clarify the entire structure of radial solutions for various types according to their behaviors at the origin and infinity. Next, we also consider a coupled elliptic system which can be viewed as a natural extension of the above equation. Some existence/non-existence, uniqueness, and  classification of solutions are established.