论文标题
$ w^{σ，p} $ a的先验估计值完全非线性integro-differention方程
$ W^{σ,p}$ A Priori Estimates for Fully Nonlinear Integro-Differential Equations
论文作者
论文摘要
$ w^{σ，p} $估计值是针对订单$σ$的一类完全非线性integro-differential方程的，这些方程是$ w^{2，p} $估计的类似物。我们还提出了Aleksandrov-Bakelman-Pucci最高原则，这是Guillen-Schwab证明的估计值的改进，仅取决于$ L^p $不均匀术语的规范。
$W^{σ,p}$ estimates are studied for a class of fully nonlinear integro-differential equations of order $σ$, which are analogues of $W^{2,p}$ estimates by Caffarelli. We also present Aleksandrov-Bakelman-Pucci maximum principles, which are improvements of estimates proved by Guillen-Schwab, depending only on $L^p$ norms of inhomogeneous terms.
