3 problems

Let $p_1,p_2\in(1,\infty)$, let $\mathscr{F}_{p_1}$ and $\mathscr{F}_{p_2}$ be the corresponding Sobolev spaces, and let $U_{p_1,+}$ and $U_{p_2,+}$ be their optimal potential func…

Conformal-dimension characterization conjecture.

Let $E$ be an irreducible energy form with domain $D(E)$ and kernel $\ker E$. Hilbert-space conjecture. The quotient $(D(E)/\ker E,E)$ is a Hilbert space. This conjecture concerns…