199 citations · 665 across the 32 of their papers we have counts for
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Fractional Adams-Moser-Trudinger type inequalities
Luca Martinazzi
Extending several works, we prove a general Adams-Moser-Trudinger type inequality for the embedding of Bessel-potential spaces into Orlicz spaces for…
A fractional Moser-Trudinger type inequalitiy in one dimension and its critical points
Stefano Iula, Ali Maalaoui, Luca Martinazzi
We study a sharp fractional Moser-Trudinger type inequality in dimension 1, its compactness properties and the critical points of a functional associeted to the inequality.
Blow-up behaviour of a fractional Adams-Moser-Trudinger type inequality in odd dimension
Ali Maalaoui, Luca Martinazzi, Armin Schikorra
Given a smoothly bounded domain with odd, we study the blow-up of bounded sequences of solutions to the non-loc…
Blow-up analysis of a nonlocal Liouville-type equation
Francesca Da Lio, Luca Martinazzi, Tristan Rivière
In this paper we perform a blow-up and quantization analysis of the following nonlocal Liouville-type equation \begin{equation}(-Δ)^\frac12 u= κe^u-1~\mbox{in ,} \end{equation…