Abstract
In this article, we consider the following boundary value problem: {F(x,u,Du,D2u)+c(x)u+p(x)u−α=0inΩ,u=0on∂Ω, where Ω is a bounded and C2 smooth domain in RN. The operator F is proper and has superlinear growth in gradient. This study examines the boundary behavior of the solutions to the above equation and establishes a global regularity result similar to that established in [11,15], which involves linear growth in the gradient.