完全非线性混合可积微分算子解的正则性

Regularity results for full nonlinear mixed type integraldifferential operators

本文介绍一类带有非对称正核的完全非线性混合可积微分算子并研究其解的正则性.具体地,本文建立关于该算子非局部A-B-P(Alexandroff-Bakelman-Pucci)估计、Harnack不等式以及解的Hlder和C1,α正则性.

We introduce a class of full nonlinear integral-differential equations with nonsymmetric positive kernels and study the regularity of their solutions. More precisely, we establish a nonlocal version of A-B-P estimate, a Harnack inequality, Holder regularity, and C^1,α of the solutions.