7 problems

Branch-shape and uniqueness conjecture. The solution branches in cases VII2-1 and VII2-2 of Theorem VII1 have the same behaviour as the branches depicted in the case-IIb and case-V…

Multiplicity and branch-shape conjecture. The branches of solutions behave as depicted in the case-VI bifurcation diagram: the problem has at least two solutions for every…

Case VIII bifurcation conjecture. The branches of solutions to … .

S-shape conjecture. The interval $(\underline{\lambda},\overline{\lambda})$ should be expandable so that problem … should be removable.

Let $\overline{\Theta}$ be the angle from Corollary B(iv), and let $\Theta^*$ be the angle from Theorem C, for the Emden–Fowler problem on a spherical cap. Critical-exponent limit…

Let $N\ge 3$, let $p>p_{\rm S}$, and let $\Theta(\Gamma)$ denote the relevant solution-branch parameter for the Emden–Fowler equation … has no regular solution for…

Let $N\geqslant 3$, let $i\geqslant 2$, and assume $2+oubles$?