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In this paper, we will show the existence and non-existence of Hessian equations with infinite Dirichlet boundary value conditions. Kewwords Hessian equation, k-convex solution, singular boundary value, existence/nonexistence, viscous solution.doi:10.1512/iumj.2006.55.2728 fatcat:o2sobvrs7rh7vgpcajyk73jq6q