3 problems

Perimeter-convergence conjecture. The perimeters of the tumor patches converge as $D$ tends to zero.

Delayed finger-growth conjecture. As $D$ tends to zero, the growth of fingers on the tumor patch boundary should slow down and become significant only after a long time.

Higher-order differentiability conjecture. The procedure of Proposition can be repeated arbitrarily often, provided that $psi$, $mathds{h}$, $varphi0$, $sigmaB$, and $Gamma$ a…