On the ABP maximum principle for L@~p-viscosity solutions of fully nonlinear PDE

摘要

Fully nonlinear second-order uniformly elliptic partial differential equations (PDE for short) with unbounded ingredietns are considered. The Aleksandrov-Bakelman-Pucci (ABP for short) maximum principle for L@~p-viscosity solutions of fully nonlinear, second-order uniformly elliptic PDE are shown. The results here are joint works with A. Swi?ch in [12], [13], [14], [15].