Adams-Trudinger-Moser inequalities of Adimurthi-Druet type regulated by the vanishing phenomenon and its extremals

Abiel Costa Macedo, José Francisco de Oliveira, Fábio Sodré Rocha

Let $W^{m,\frac{n}{m}}({\mathbb{R}}^n)$ with $1\le m<n$ be the standard higher order derivative Sobolev space in the critical exponential growth threshold. We investigate a new Ada…