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In this article we consider the following boundary value problem equation*abs \ aligned F (x, u, Du, D^{2u) +c (x) u+ p (x) u^-&=0~in~\\ u&=0~~on~~, aligned. equation* where is a bounded and C^2 smooth domain in RN and F has superlinear growth in gradient and c (c) <-c₀ for some positive constant c₀. Here, we studies the boundary behaviour of the solutions to above equation and establishes the global regularity result similar to one established in 12, 16 with linear growth in gradient.
Mallick et al. (Mon,) studied this question.