J. Ji

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20212026

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math.AP2026

Sharp conditions for fully nonlinear equations with $(n - 1)$ -Hessian matrix: Part II. $k$ -Hessian case

Jingwen Ji, Feida Jiang, Mengni Li

We study admissible entire subsolutions and radial boundary blow-up solutions of $S_{k}^{\frac{1}{k}} [Δ u I - D^{2} u] = f (u) + g (u) ∣ D u ∣^{q}$ for $1 \leq k < n$ , continuing our study of the determinant…

math.AP2026

Sharp conditions for fully nonlinear equations with $(n - 1)$ -Hessian matrix: Part I. Monge--Ampère case

Jingwen Ji, Feida Jiang, Mengni Li

We study positive $(n - 1)$ -convex entire subsolutions of the normalized real $(n - 1)$ Monge--Ampère equation $det^{\frac{1}{n}} (Δ u I - D^{2} u) = f (u) + g (u) ∣ D u ∣^{q}$ in $\m…

Sharp conditions for fully nonlinear equations with (n−1)-Hessian matrix: Part II. k-Hessian case

Sharp conditions for fully nonlinear equations with (n−1)-Hessian matrix: Part I. Monge--Ampère case

Sharp conditions for fully nonlinear equations with $(n - 1)$ -Hessian matrix: Part II. $k$ -Hessian case

Sharp conditions for fully nonlinear equations with $(n - 1)$ -Hessian matrix: Part I. Monge--Ampère case