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 $S_k^{\frac{1}{k}}(D^{2}u+\mu |Du|I)=f(u)$ in ${\mathbb{R}}^n$, and provide a necessary and sufficient condition of $f$ o…