estimates in the integrability by compensation result of H. Wente fail in dimension larger than two when Sobolev spaces are replaced by the ad-hoc Morrey spaces (in dimension ). However, in this paper we prove that estimates hold in arbitrary dimension when Morrey spaces are replaced by their Littlewood-Paley counterparts: Besov-Morrey spaces. As an application we prove the existence of conservation laws for solutions of elliptic systems of the form where is antisymmetric and both and belong to these Besov-Morrey spaces for which the system is critica
