Special Session 80: 

Behavior of the torsion function on a large spherical cap and the related topics

Yoshitsugu Kabeya
Department of Mathematical Sciences, Osaka Prefecture University
Japan
Co-Author(s):    
Abstract:
We consider the torsion function on a larger spherical cap under the homogeneous Dirichlet condition. We discuss the behavior of the solution as the domain becomes larger and larger in the unit sphere. A related nonlinear problem Is also mentioned. This talk is based on the joint work with Professor Vitaly Moroz at Swansea University, UK.