3 problems

Supersolution bound conjecture. Corollary should hold for supersolutions, whether or not they are bounded at $\{x=0\}$, and the constant can be taken to be $c=2$.

Let $f$ be a positive continuous function on $(0,\infty)$ and consider the biharmonic inequality … in an exterior domain of $\mathbb{R}^2$. The conjecture. If … then the inequality…

Let $n\ge 3$ and let $f$ be a positive continuous function on $(0,\infty)$ satisfying … and … Consider the biharmonic inequality … in an exterior domain of $\mathbb{R}^n$. The conj…