199 citations · 665 across the 32 of their papers we have counts for
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math.AP2016★ 3 cited
Large blow-up sets for the prescribed Q-curvature equation in the Euclidean space
Ali Hyder, Stefano Iula, Luca Martinazzi
Let be an integer. For any open domain , non-positive function such that , and bounded sequence $(V_k)\subset L^…
math.AP2016
The Moser-Trudinger inequality and its extremals on a disk via energy estimates
Gabriele Mancini, Luca Martinazzi
We study the Dirichlet energy of non-negative radially symmetric critical points of the Moser-Trudinger inequality on the unit disc in , and prove that it expan…
math.DG2016★ 1 cited
The nonlocal Liouville-type equation in and conformal immersions of the disk with boundary singularities
Francesca Da Lio, Luca Martinazzi
In this paper we perform a blow-up and quantization analysis of the fractional Liouville equation in dimension . More precisely, given a sequence $u_k :\mathbb{R} \to \mathbb{R}…