论文标题
非均匀椭圆形的舒德尔理论
Nonuniformly elliptic Schauder theory
论文作者
论文摘要
当地的Schauder估计在不均匀的椭圆形设置中。具体而言，解决方案的第一个衍生物是针对椭圆形的变分问题和椭圆方程的局部连续的，只要系数是局部hölder连续的。
Local Schauder estimates hold in the nonuniformly elliptic setting. Specifically, first derivatives of solutions to nonuniformly elliptic variational problems and elliptic equations are locally Hölder continuous, provided coefficients are locally Hölder continuous.
