=+35.12. 1 A function , on the integer lattice in R* is superharmonic if for each lattice point x, p(x) 2 (2k) E(y), the sum extending over the 2k nearest neighbors y. Show for k = 1 and k = 2 that a bounded superharmonic function is constant. Show for k ≥ 3 that there exist nonconstant bounded harmonic functions.