“…Rewrite (1.11) as −(|x| 2α u n ) + u n = u n − g p,n (u n ) + μ. Then according to [23], a function u n is a solution of (1.11) if u n ∈ L 1 (−1, 1) ∩ W 1,1 loc ([−1, 1]\ {0}), |x| 2α u n ∈ BV (−1, 1), and u satisfies (1.11) in the usual sense. When 0 < α < 1, a solution u n of (1.11) is called a good solution if it satisfies in addition (1.3).…”