Uhlenbeck's decomposition in Sobolev and Morrey-Sobolev spaces

Pawel Goldstein, Anna Zatorska-Goldstein

We present a self-contained proof of Uhlenbeck's decomposition theorem for $\Omega \in L^p({\mathbb{B}}^n,so(m)\otimes {\Lambda }^1{\mathbb{R}}^n)$ for $p\in (1,n)$ with Sobolev type estimates in the…