一类带有函数指数的Logistic方程正解的有界性

The boundness of positive solutions of a Logistic equations with varying power

本文讨论RN空间中一类带有函数指数的Logistic微分方程正解的有界性。利用Sliding Method和比较原理得出结论,为讨论此类方程正解的唯一性打下基础。

In this paper, we discuss the boundness of positive solutions of a Logistic partial differential equations on R^N with varying power. We use the sliding method and comparison principles to reach the conclusion which the uniqueness of the positive solution of this kind of equation is based on.