Special Session 76: 

Existence of positive singular radial solutions to a class of quasilinear elliptic equations

Satoshi Tanaka
Tohoku University
Japan
Co-Author(s):    
Abstract:
The quasilinear elliptic equation ${\rm div}(|x|^\alpha|\nabla u|^{p-2}\nabla u)+ |x|^\beta|u|^{q-2}u=0$ is considered in ${\bf R}^N-\{0\}$, where $N>p$, $q>p>1$ and $\alpha$, $\beta \in {\bf R}$, In this talk, the existence result of positive singular radial solutions is shown. This is a joint work with Kenta Itakura,and Masakazu Onitsuka.