Boundary blow-up solutions to the k-Hessian equation with singular weights. (June 2021)

• Record Type: Journal Article
• Authors: Zhang, Xinqiu; Liu, Lishan
• Is Part Of: Applied mathematics letters. Volume 116(2021)
• Publication Date: 2021-06
• Subjects: Boundary blow-up -- k-Hessian equation -- k-convex solution; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2020.106964
• Languages: English
• ISSNs: 0893-9659

Abstract

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