Abstract
In this paper, we discuss the k-convex solution to the following boundary blow-up k-Hessian equation with singular weights: SkD2u=H(x)up,inΩ,u=∞,on∂Ω, where k∈{1,2,…,n}, SkD2u is the k-Hessian operator, Ω is a smooth, bounded and strictly convex domain in Rn(n≥2),p>0.
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