具有散度形式的拟线性椭圆型微分方程的区域振动准则

Domain oscillation criteria for quasilinear elliptic differential equation in divergence form

对一类具有散度形式的拟线性椭圆型微分方程建立了若干新的振动准则,所得结果仅依赖于方程在外区域Ω(?)R^n的一个区域序列的信息而有别于已知的大多数结论.

In this paper, some new oscillation criteria are obtained for quasilinear elliptic differential equations of the form div（｜Du｜^p-2A（x）Du） ＋ c（x）｜u｜^p-2u = 0,x ∈Ω belong R^n, where Ω is an exterior domain in R^n and p 〉 1. These criteria are only based on the information of a sequence of subdomain of Ω belong R^n and different from most known ones.