We consider a class of parabolic stochastic partial differential equations featuring an antimonotone nonlinearity. The existence of unique maximal and minimal variational solutions is proved via a fixed-point argument for nondecreasing mappings in ordered spaces. This relies on the validity of a comparison principle.

中文翻译：

---

具有反单调项的SPDE的订购方法

我们考虑一类具有反单调非线性特征的抛物型随机偏微分方程。通过定点参数针对有序空间中的非递减映射证明了唯一最大和最小变分解的存在。这取决于比较原理的有效性。