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…

math.AP2024

Uniqueness of the critical points of solutions to two kinds of semilinear elliptic equations in higher dimensional domains

Haiyun Deng, Jingwen Ji, Feida Jiang +1

In this paper, we provide an affirmative answer to the {\it conjecture A} for bounded simple rotationally symmetric domains $Ω \subset R^{n} (n \geq 3)$ along $x_{n}$ axis. Preci…

math.AP2022

Entire subsolutions of a kind of k-Hessian type equations with gradient terms

Jingwen Ji, Feida Jiang, Mengni Li

In this paper, we consider a kind of $k$ -Hessian type equations $S_{k}^{\frac{1}{k}} (D^{2} u + μ ∣ D u ∣ I) = f (u)$ in $R^{n}$ , and provide a necessary and sufficient condition of $f$ o…

math.AP2021

On the solutions to weakly coupled system of $k_{i}$ -Hessian equations

Jingwen Ji, Feida Jiang, Baohua Dong

In this paper, the existence and multiplicity of nontrivial radial convex solutions to general coupled system of $k_{i}$ -Hessian equations in a unit ball are studied via a fixed-poin…

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

Uniqueness of the critical points of solutions to two kinds of semilinear elliptic equations in higher dimensional domains

Entire subsolutions of a kind of k-Hessian type equations with gradient terms

On the solutions to weakly coupled system of ki​-Hessian equations

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

On the solutions to weakly coupled system of $k_{i}$ -Hessian equations