Weak Solution On A Class Of Elliptic Equations On The Heisenberg Group,

In this paper,we study the regularity of weak solutions of nonlinear subel-liptic systems of the typein the Heisenberg group Hⁿ. We prove the HW^2,2 estimate of weak solutions of the systems by using the fractional difference quotients. We prove the partial regularity of weak solutions for the systems , the main method we used is frozen-in coefficients and several important estimates for linear systems with constant coefficients.