Linear elliptic difference inequalities with random coefficients
Hung Ju Kuo, Neil S. Trudinger · Mathematics of Computation · 1990
We prove various pointwise estimates for solutions of linear elliptic difference inequalities with random coefficients. These estimates include discrete versions of the maximum principle of Aleksandrov and Harnack inequalities and Hölder estimates of Krylov and Safonov for elliptic differential operators with bounded coefficients.