3 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…

Generalization conjecture. Theorem $$ should hold for any such domain $\Omega$.

Let $N$ be a given dimension. A domain is of Strictly Starshaped class $k$ if it contains exactly $k$ inscribed balls of radius $R(\Omega)$ with centers at distinct points. Maximum…