2 problems

Let $n\geq 2$, $a<0$, $a<b<a+1$, $a<\frac{n-2}{2}$, and $p=\frac{2n}{n-2+2(b-a)}$. Define … where $\Lambda:=\left(\frac{n-2-2a}{2}\right)^2$, and let … The equation…

Let $1<p<N$, let $a_c=(N-p)/p$, and let $a$ and $b$ satisfy $a<a_c$ and $a e?$. The Caffarelli–Kohn–Nirenberg inequality is considered with … For the general case, the optimal symm…