On multipliers characterizing summability of solutions for a class of degenerate nonlinear high-order equations with L1-data

We deal with a class of degenerate nonlinear high-order equations with coefficients satisfying a strengthened monotonicity condition and L1-right-hand sides. Our main result describes functional multipliers with which solutions of the Dirichlet problem for equations of the given class and their derivatives belong to some limit Lebesgue spaces.