【摘要】 研究了一类与Baouendi-Grushin向量场族相关的具有不连续系数的退化椭圆方程组.通过建立Caccioppoli型不等式并利用反向Hlder不等式,得到了该类方程组弱解梯度的局部Lp估计,从而提升了弱解的光滑性.更多还原

【Abstract】 A class of degenerate elliptic systems related to Baouendi-Grushin vector fields are studied when the coefficients are discontinuous.By establishing a Caccioppoli inequality and using the reverse Hlder inequality,the Lp estimates for the gradients of weak solutions to the system are obtained and the regularity of the weak solution is lifted.更多还原