Heisenberg群上带漂移项的次椭圆方程组弱解的正则性

Regularity of Weak Solutions to Sub-elliptic Systems with the Drift Term on the Heisenberg Group

本文研究Heisenberg群上带漂移项的散度型非线性次椭圆方程组弱解的正则性,利用A-调和逼近技巧,建立了方程组弱解的最优部分H?lder正则性.

This paper is focuses on regularities of weak solutions to nonlinear sub-elliptic systems in divergence form on the Heisenberg groups.Based on the technique of A-harmonic approximation,the optimal partial H lder regularity for the weak solution is established.