37 citations · 93 across the 11 of their papers we have counts for
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math.AP2017★ 15 cited
Improved Adams-type inequalities and their extremals in dimension 2m
Azahara DelaTorre, Gabriele Mancini
In this paper we prove the existence of extremal functions for the Adams-Moser-Trudinger inequality on the Sobolev space , where is any bounded, smooth, open subset o…
math.AP2017★ 21 cited
Non-existence of extremals for the Adimurthi-Druet inequality
Gabriele Mancini, Pierre-Damien Thizy
The Adimurthi-Druet [1] inequality is an improvement of the standard Moser-Trudinger inequality by adding a -type perturbation, quantified by , where is…
math.AP2017★ 1 cited
Uniform bounds for higher-order semilinear problems in conformal dimension
Gabriele Mancini, Giulio Romani
We establish uniform a-priori estimates for solutions of the semilinear Dirichlet problem \begin{equation} \begin{cases} (-Δ)^m u=h(x,u)\quad&\mbox{in }Ω,\\ u=\partial_nu=\cdots=\p…