一类具变指数源的p-Laplace方程解的爆破时间下界

摘要

This paper deals with the blow-up properties of solutions to a class of p-Laplace equation with variable sources.Constructing suitable auxiliary functions and making use of the first order differential inequality technique,the authors obtained a lower bound for the blow-up time of solutions to such equations under Dirichlet boundary conditions.%考虑一类具变指数源的p-Laplace方程的 Dirichlet 边值问题解的爆破性质，通过构造恰当的辅助函数并利用一阶微分不等式，得到了解爆破时间的下界估计。