A note on weak compactness of $\mathrm{\Omega }$-Yang-Mills connections

In this note, applying a compensation compactness argument developped by Chen and Giron (arXiv.2108.13529) on Yang-Mills fields, we extends their weak continuity result to the more general class of $\mathrm{\Omega }$-Yang-Mills connections on principle bundles over compact Riemannian manifold.