Abstract:
Sufficient conditions for singularities of solutions to be removable are established for a certain class of linear elliptic systems of first order equations with discontinuous coefficients. The systems in question are multidimensional analogs to the classical Beltrami equation $f_{\bar{z}}=\mu f_z+\sigma$. As a consequence sufficient conditions are derived for removability of singularities for solutions to linear elliptic systems of first order equations with continuous coefficients.