3 problems

Comparison-principle conjecture. Under these assumptions, the comparison principle of the paper's system comparison theorem extends to solutions in $\mathcal{A}_g^k$. This conjectu…

Strong comparison principle. Either $u<v$ throughout $\Omega'$, or $u=v$ throughout $\Omega'$. The weak comparison principle supplies the non-strict inequality $u\leq v$; the conje…

Let $\Omega$ be the domain under consideration. Assume that $u,-v\in\operatorname{USC}(\bar\Omega)$ and $f\in C(\Omega)$ satisfy … Suppose that either $u$ has no strict local maxim…