摘要:
该文考虑拟线性椭圆系统△piui+ζi(|x|)|▽ui|pi-1=ηi(|x|)fi|u1,…,um),其中i = 1,…,m, pi≥ 2, ζi 和ηi是正连续函数,fi是非负连续函数且关于每个分量是非 减的.通过应用新建立的比较原理证明系统不存在非径向爆破解.%In this paper, we consider the following quasilinear elliptic system △piui+ζi(|x|)|▽ui|pi-1=ηi(|x|)fi|u1,…,um), in RN, where i = 1,…,m, pi≥ 2, ζi and ηi are positive continuous functions, and fi is a non-negative continuous function and nondecreasing in each component for every i € {1,2, …, m}. After using some new comparison principle, we are able to show that the system does not admit any nonradial blow-up solutions.