Special Session 101: 

Positive singular solutions for semilinear elliptic equations with supercritical nonlinearity

Yuki Naito
Ehime University
Japan
Co-Author(s):    Yasuhito Miyamoto
Abstract:
We study positive singular solutions to the Dirichlet problems for the semilinear elliptic equation in the unit ball. We first show the uniqueness of the singular solution to the problem, and then study the convergence of positive regular solutions to the singular solution.