2 problems

Let $\Omega\subset\mathbb{R}^d$ be an open subset with smooth boundary. For $\lambda\in C^\infty(\overline{\Omega})$ with $\lambda>0$ on $\overline{\Omega}$, and…

Separate subharmonicity conjecture. If $F$ is subharmonic with respect to every pair $(x_j,x_{j+d})$, then $F$ is non-negative. This geometric statement is intended to provide the…