一类p-Laplace方程非局部边值问题解的性态研究

On Solutions for a Class of p-Laplace Equation with Nonlocal Boundary Condition

本文研究一类具非局部边值条件的p-Laplace抛物型方程解的性态.利用抛物型方程的上下解方法和一些基本理论,得到该问题解的整体存在性,有限时刻爆破以及爆破速率的估计等结论.

In this article, we study a class of p-Laplace parabolic equation with nonlocal boundary condition. By the method of upper and lower solutions of parabolic equation and some basic theory of parabolic equations, we prove the global existence of solution, blow up in nite time as well as the rate of blow up.