2 problems

The higher-capacity p-product conjecture. The displayed formula should hold for every such pair of star-shaped domains and every admissible $p$. The conjecture generalizes the know…

Let $U$ be a bounded star-shaped domain, and let $c_k^{\text{EH}}(U)$, $c_k^{\text{GH}}(U)$, and $c_k(U)$ denote the Ekeland–Hofer, Gutt–Hutchings, and capacities considered in the…