5 problems

Błocki's conjecture. Every $m$-subharmonic function should be locally $L^p$ integrable for every

Székelyhidi's conjecture. (1) The class $[\alpha]$ belongs to $\mathcal{K}_{k,\omega}$ if and only if there is a path in $\mathcal{P}_{k,\omega}$ passing through $[\alpha]$ and…

Let $\Omega \subset \mathbb{C}^n$ be a bounded domain, with $n \geq 2$ and $1 \leq m \leq n$, and let $u \in \mathcal{SH}_m(\Omega)$ be an $m$-subharmonic function. Błocki's conjec…

Let $\Omega$ be an open subset of $\mathbb{C}^n$, and let $\beta=dd^c\rho$ be a Kähler form on $\Omega$ with smooth bounded potential. A function $u$ is $m$-subharmonic if it satis…

Chen's generalized Hessian equation conjecture. The equation