论文标题
cordes-nirenberg类型的非局部方程的结果，具有变形内核
Cordes-Nirenberg type results for nonlocal equations with deforming kernels
论文作者
论文摘要
我们得出了非局部椭圆形差异方程的Cordes-Nirenberg类型结果，其变形核与Monge-Ampère方程的凸溶液的部分相当。在Monge-Ampère解决方案上的自然可整合性假设下，我们证明了稳定性引理，使椭圆度类别变化。然后，我们使用紧凑型方法来得出溶液梯度的Hölder规律性估计。
We derive Cordes-Nirenberg type results for nonlocal elliptic integro-differential equations with deforming kernels comparable to sections of a convex solution of a Monge-Ampère equation. Under a natural integrability assumption on the Monge-Ampère solution, we prove a stability lemma allowing the ellipticity class to vary. Using a compactness method, we then derive Hölder regularity estimates for the gradient of the solutions.
