Abstract
In a very recent paper, the authors proved the local boundedness of solutions for a class of degenerate nonlinear elliptic higher order equations with right-hand sides f(x) ∈ L 1(Ω). Now we give some sufficient conditions in order to have analogous results assuming that the data f(x) belongs to L m (Ω), with m close enough to 1 and not sufficient to consider the problem within the usual theory of monotone operators.