论文部分内容阅读
The existence of positive radial solutions of the equation -div(|Du|p-2Du)=f(u) is studied in annular domains in Rn,n≥2. It is proved that if f(0)≥0, f is somewhere negative in (0,∞), limu→0+f′(u)=0 and limu→∞(f(u)/up-1)=∞, then there is a large positive radial solution on all annuli. If f(0)<0 and satisfies certain conditions, then the equation has no radial solution if the annuli are too wide.