In chapter 1, the existence of positive radial singular rupture solutions of the quasilinear elliptic equation in a finite ball is obtained via the Pohozaev identity and some comparison arguments.

• 在第二章中考虑了带非局部反应项的扩散方程非负解的局部 存在性以及解在有限时间爆破，考察了解的边界行为。