Equal values of trinomials revisited

A necessary and sufficient condition is given for an equation ax ^m + bx ⁿ + c = dy ^p + ey ^q to have infinitely many rational solutions with a bounded denominator, under the assumption that m > n > 0, p > q > 0, ab ≠ 0 ≠ de and either m > p > 2, or m = p > 2 and n ≥ q. In a previous paper there was an additional assumption (m, n) = (p, q) = 1.