Asymptotic behavior of extremals for fractional Sobolev inequalities associated with singular problems

Grey Ercole, Gilberto Assis Pereira, Rémy Sanchis

Let $\Omega$ be a smooth, bounded domain of ${\mathbb{R}}^N$, $\omega$ be a positive, $L^1$-normalized function, and $0<s<1<p.$ We study the asymptotic behavior, as $p\to \infty ,$ o…