Special Session 84: 

Positive Geodesic Solutions with Singularity at the Two Poles on the Unit Sphere

Jann-Long Chern
National Central University
Taiwan
Co-Author(s):    Soohyun Bae, Yoshitsugu Kabeya and Shoji Yotsutani
Abstract:
We consider an elliptic with Schrodinger type equation in Sn and investigate the structures of positive solutions depending only on the azimuthal angle. We give the pro les of the existence and uniqueness of all positive singular solutions both at the North Pole and the South Pole in all nonlinear cases of p.