Special Session 40: Asymptotic behaviour in nonlinear elliptic and parabolic problems

Singular solutions to a nonlinear elliptic equation on a unit sphere

Yoshitsugu Kabeya
Department of Mathematics, Osaka Metropolitan University
Japan
Co-Author(s):    Professors Soohyun Bae, Jann-Long. Chern, Shoji Yotsutani
Abstract:
We consider a nonlinear elliptic equation on the unit sphere and discuss the existence of positive singulalr solutions. We also investigate the properties of singular solutions.