3 problems

Let $N\geq 1$, $\gamma>0$, $\mu>0$, $c>0$, and $2+\frac{4}{N}<q<2^*$. Let $\omega_1$ and $\omega_2$ be the parameters appearing in the condition governing the existence of normaliz…

Let $N$, $calpha$, $p$, and $q$ be admissible parameters, and let $\mathscr{C}_{N,\alpha,p,q}$ denote the optimal constant in the variational quotient considered in the paper. For…

Pekar's conjecture.