21 citations · 51 across the 8 of their papers we have counts for
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math.AP2018
Glueing a peak to a non-zero limiting profile for a critical Moser-Trudinger equation
Gabriele Mancini, Pierre-Damien Thizy
Druet [6] proved that if is a sequence of Moser-Trudinger type nonlinearities with critical growth, and if solves $$ \begin{cases} &Δu =f_γ(x,u)\,,~~ u>0\text{…
math.AP2018★ 7 cited
When does a perturbed Moser-Trudinger inequality admit an extremal?
Pierre-Damien Thizy
In this paper, we are interested in several questions raised mainly in [17]. We consider the perturbed Moser-Trudinger inequality below, at the critical level , w…
math.AP2018★ 15 cited
Sharp quantization for Lane-Emden problems in dimension two
Pierre-Damien Thizy
In this short note, we prove a sharp quantization for positive solutions of Lane-Emden problems in a bounded planar domain. This result has been conjectured by De Marchis, Ianni an…