论文标题
ABP的最大原则的完全非线性截差方程，无约束性术语
ABP maximum principles for fully nonlinear integro-differential equations with unbounded inhomogeneous terms
论文作者
论文摘要
研究了[2- \ varepsilon_0,2）$的Aleksandrov-bakelman-Pucci最大原则的最大原则，其中仅根据给定参数，$ \ varepsilon_0 $是一个小的常数。本文的目的是改善对Guillen和Schwab的估计（Arch。Matation。Mech。Anal。，206，2012），以避免依赖$ l^\ infty $ norm of％的％，仅取决于$ l^n $ norm to norm norm norm norm norm norm norm norm norm norm norm normosiens norhhomosion。
Aleksandrov-Bakelman-Pucci maximum principles are studied for a class of fully nonlinear integro-differential equations of order $σ\in [2-\varepsilon_0,2)$, where $\varepsilon_0$ is a small constant depending only on given parameters. The goal of this paper is to improve an estimate of Guillen and Schwab (Arch. Ration. Mech. Anal., 206, 2012) in order to avoid the dependence on $L^\infty$ norm of %the to the estimate depending only on $L^n$ norm the inhomogeneous term.
