带生产约束的随机生产计划中偏微分椭圆型方程的对称解
Symmetric solutions for a partial differential elliptic equation that arises in stochastic production planning with production constraints
摘要：
本文考虑了以下类型的问题$Δu=a\left( \left\vert x\right\vert \right) h\left( u\right) +b\left( \left\vert x\right\vert \right) g\left( u\right) $（对于$x\in \mathbb{R}^{N}$）的正对称解的存在性问题，称之为整体大解.这里是$N\geq 3$，我们假设$a$和$b$是$\mathbb{R}% ^{N} $上的非负连续球对称函数。我们扩展了以前获得的特殊情况下的$h$和$% g $的结果，我们将描述一个真实世界的模型中，可能会出现这样的问题。
英文摘要：
In this article we consider the question of the existence of positive symmetric solutions to the problems of the following type $Δu=a\left( \left\vert x\right\vert \right) h\left( u\right) +b\left( \left\vert x\right\vert \right) g\left( u\right) $ for $x\in \mathbb{R}^{N}$, which are called entire large solutions. Here $N\geq 3$, and we assume that $a$ and $b$ are nonnegative continuous spherically symmetric functions on $\mathbb{R}% ^{N} $. We extend results previously obtained for special cases of $h$ and $% g $ and we will describe a real-world model in which such problems may arise.
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