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We consider the exact asymptotic behavior of smooth solutions to boundary blow-up problems for the k-Hessian equation on Omega, where partial derivative Omega is strictly. (k - 1)-convex. Similar results were obtained by Cirstea and Trombetti when k = n (the Monge-Ampere equation) and by Bandle and Marcus for a semilinear equation.

Boundary asymptotical behavior of large solutions to Hessian equations