Carnot群上次椭圆方程组的正则性:次二次情形

Regularity for Sub-elliptic Systems in Carnot Groups:Sub-quadratic Growth Case

在次二次可控增长条件下,考虑Carnot群上具有VMO系数的非线性次椭圆方程组,利用A-调和逼近技巧建立其弱解的Hölder连续性.

In this paper,we consider nonlinear sub-elliptic systems with VMO-coefficients in Carnot group for the sub-quadratic structure case under controllable growth conditions,and prove a Hölder continuity result for weak solutions by using the generalization of A-harmonic approximation.