Special Session 101: 

Radially symmetric singular solutions of semilinear elliptic supercritical equations

Soohyun Bae
Hanbat National University
Korea
Co-Author(s):    
Abstract:
We consider radially symmetric singular solutions for semilinear elliptic supercritical equations and prove the existence under extra conditions including the supercriticality. The asymptotic behavior at the singularity is described by self-similarity. After explaining known results, we show the uniqueness by analyzing the corresponding integral equation. We also discuss a generalization of the result and related questions.