【摘要】 该文考虑拟线性椭圆系统△_piu_i+ζ_i（|x|）|▽u_i|^pi-1=η_i（|x|）f_i（u₁,…,u_m）,其中i=1,…,m,pi≥2,ζ_i和η_i是正连续函数,f_i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.更多还原

【Abstract】 In this paper, we consider the following quasilinear elliptic system△_piu_i+ζ_i（|x|）|▽u_i|^p_i-1 =η_i（|x|）f_i（u₁,…,u_m）, R^N where i = 1,…,m,P_i≥ 2, ζ_i and η_i are positive continuous functions, and f_i 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.更多还原