3 problems

Disconnected-complement conjecture. If this failure of connectedness occurs, it could influence and change the behaviour of solutions to problem $2.7$.

Let $\boldsymbol{\mathrm{P}}\subset\Omega$ be a corresponding prototype with the strong extension property, and let $\mathcal{V}_{\mathrm{pot}}^{p}(\boldsymbol{\mathrm{P}})$ denote…

The perforated strip and the assumptions governing the distribution of its holes are as in the paper, with Assumptions A14 and A10 controlling the perforation geometry. Necessity c…