Asymptotics for Sobolev extremals: the hyperdiffusive case

Grey Ercole

Let $\Omega$ be a bounded, smooth domain of ${\mathbb{R}}^N,$ $N\ge 2.$ For $p>N$ and $1\le q(p)<\infty$ set \[ λ_{p,q(p)}:=\inf\left\{ \int_Ω\left\vert \nabla u\right\vert ^{p}\mathrm…