L^p(Ω)空间上算子方程的解

SOLUTIONS OF OPERATOR EQUATIONS IN L p(Ω)

利用混合单调算子的性质与上、下解方法研究了Ｌｐ（Ω）（ｐ≥１）上算子方程ｆ（ｕ，ｕ）＝ｕ，给出了此类方程解的存在性定理。

By means of properties of mixed monotone operator and methods of upper and lower solutions,the operator equations in L p(Ω) are studied.The existence theorems of operator equations are given.