Gabriele Mancini

activity

20132020

most citedExtremal Functions for Singular Moser-Trudinger Embeddings

37 citations · 93 across the 11 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.AP2019

Extremals for fractional Moser-Trudinger inequalities in dimension 1 via harmonic extensions and commutator estimates

Gabriele Mancini, Luca Martinazzi

We prove the existence of extremals for fractional Moser-Trudinger inequalities in an interval and on the whole real line. In both cases we use blow-up analysis for the correspondi…

math.AP2019

Bubbling nodal solutions for a large perturbation of the Moser-Trudinger equation on planar domains

Massimo Grossi, Gabriele Mancini, Daisuke Naimen +1

In this work we study the existence of nodal solutions for the problem $- Δ u = λ u e^{u^{2} + ∣ u ∣^{p}} in Ω, u = 0 on \partial Ω,$ where $Ω \subseteq R^{2}$ is…