【摘要】 本文首先得到一类半线性椭园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非存在性结果 .利用此结果建立了一类半线性反应扩散方程组 (牛顿渗流系统 )的爆破界的估计 ,推广了半线性 (Fujita型 )反应扩散方程组的结果 .更多还原

【Abstract】 The prior estimate and decay property of positive solutions are derived for a system of semilinear elliptic differential equations first. Hence, the result of nonexistence for differential equation system of radially nonincreasing positive solutions is implied. By using this nonexistence result, we establish blow-up estimates for a class semilinear reaction-diffusion systems(Newtonian filtration systems), which extends the result of semilinear reaction-diffusion(Fujita type) systems.更多还原