4 problems

Strip minimaxmax optimum conjecture. The optimum of the minimaxmax problem is the couple $(\overline e_1,\operatorname{Strips})$.

Minimaxmax optimum conjecture. The optimum of the minimaxmax problem is the couple $(f^1,D^0)$.

$L^\infty$ maximizer conjecture. For every $D\subset\Omega$, the unique maximizers of the problem are the odd function

Worst concentrated load conjecture. When $D=\emptyset$, $\overline T_{\pi/2}$ and $-\overline T_{\pi/2}$ are the unique maximizers of the worst case problem.