摘要
首先得到一类拟线性椭圆型方程组的正解的先验界估计和衰减性质 ,从而推出该方程组的径向非增正对称解的不存在性结果· 利用此结果建立了一类拟线性反应扩散方程组 (非牛顿渗流系统 )的爆破界的估计 ,推广了半线性 (Fujita型 )
The prior estimate and decay property of positive solutions are derived for a system of quasilinear elliptic differential equations first. Hence, the result of nonexistence for differential equation system of radially nonincreasing positive solutions was implied. By using this nonexistence result, blow_up estimates for a class quasilinear reaction_diffusion systems (non_Newtonian filtration systems) are established, which extencds the result of semilinear reaction_diffusion(Fujita type) systems.
出处
《应用数学和力学》
EI
CSCD
北大核心
2001年第3期287-294,共8页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目 !(19872 0 10 )
教育部博士学科点基金资助项目! (980 0 0 619)
