On the large solutions to a class of k-Hessian problems

In this paper, we consider the k-Hessian problem S k(D 2 u) = b(x)f(u) in Ω, u = +∞ on ∂Ω, where Ω is a C ∞-smooth bounded strictly (k − 1)-convex domain in RN ${\mathbb{R}}^{N}$ with N ≥ 2, b ∈ C∞(Ω) is positive in Ω and may be singular or vanish on ∂Ω, f ∈ C[0, ∞) ∩ C 1(0, ∞) (or f∈C1(R) $f\in {C...

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Bibliographic Details
Main Author: Wan Haitao
Format: Article
Language:English
Published: De Gruyter 2024-04-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2023-0128