2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58186A version of the nonlinear Hodge equations is introduced in which the irrotationality condition is weakened. An elliptic estimate for solutions is derived.Six pages, LaTeX. A misleading typographical error in inequality (7) is corrected and a reference addedMathematical PhysicsDifferential Geometry58E15text