Bibliographic Details
| Title: |
Nonexistence and boundary behavior of solutions to the [formula omitted]-Hessian equation with nonlinear gradient terms. |
| Authors: |
Zhao, Boxuan1 (AUTHOR) hj19990623@163.com, Wang, Guotao1 (AUTHOR) wanggt@sxnu.edu.cn |
| Source: |
Applied Mathematics Letters. Apr2026, Vol. 175, pN.PAG-N.PAG. 1p. |
| Subjects: |
Convex domains, Hessian matrices, Equations, Variational approach (Mathematics), Mathematical singularities |
| Abstract: |
This paper investigates the blow-up problem for the k -Hessian equation with nonlinear gradient terms: (γ + | D u |) k (p − 2) S k (D 2 u) = h (z) u α (ln u) β > 0 , z ∈ D , u | ∂ D = + ∞ , where p ≥ 2 , α , β , γ are nonnegative constants with β ≠ 0 , D ⊂ R N (N ≥ 2) is a smooth, bounded and strictly (k − 1) -convex domain, h ∈ C ∞ (D) is a positive function and may be singular near ∂ D. By the sub-supersolution method, we present the boundary behavior of large solutions to this problem. Our work essentially generalizes the relevant conclusions in Zhang and Feng (2018); Feng and Zhang (2020). [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
