  $L^{\infty}$ 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. However, in this paper we prove that $L^{\infty}$
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 to solution of elliptic systems of the form
$-\Delta u= \Omega \cdot \nabla u$ where $\Omega$ is antisymmetric and both
$\nabla u$ and $\Omega$ belong to these Besov-Morrey spaces for which the
system is critical.
