| Abstract: |
| We determine the critical exponent for certain semi-linear elliptic problem
on Riemannian manifolds assuming the volume regularity and Green function estimates.
By using a sharp volume condition, we also reinvestigate nonexistence and existence of global positive solutions to semilinear parabolic equation on Riemannian manifolds. This talk is based on joint works with Prof. Grigor`ian, and Fanheng Xu. |
|