半线性椭圆互补问题的上解与下解(英文)

Upper and Lower Solutions for Semilinear Elliptic Complementarity Problems

本文针对半线性椭圆互补问题,提供几种获取该问题的一个上解和下解的方式.在求解过程中,仅仅需要求解一个线性互补问题或线性方程组.所得结果可应用于众多单调算法的初始化.

In this paper, we provide several procedures to produce an upper or lower solution for semilinear elliptic complementarity problems. In the process, only a linear complementarity problem or merely a system of linear equations is needed to be solved. The results we obtained can be applied in the initialization of various monotone algorithms based on upper or lower solutions.