4 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…

Generalized Sierpinski carpet criticality conjecture. For generalized Sierpinski carpets and similar fractals,

Nested-fractal variation conjectures.

Let $K$ be the fractal and assume the conditions of Theorems and. Let the results of Strichartz referred to in the source be the stated spectral and fractal-analytic results, norma…