$L^p$-regularity for fourth order elliptic systems with antisymmetric potentials in higher dimensions

Chang-Yu Guo, Changyou Wang, Chang-Lin Xiang

We establish an optimal $L^p$-regularity theory for solutions to fourth order elliptic systems with antisymmetric potentials in all supercritical dimensions $n\ge 5$: $$ Δ^2 u=Δ(D\…