Gabriele Mancini

most citedOn the equivalence between an Onofri-type inequality by Del Pino-Dolbeault and the sharp logarithmic Moser-Trudinger inequality

2 citations · 2 across the 2 of their papers we have counts for

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math.AP2026

Extremals for singular Onofri type inequality in weighted Sobolev spaces

Natalino Borgia, Silvia Cingolani, Rubén Fiñana Aranega +1

The $N$ -dimensional Euclidean Onofri inequality was proved by Del Pino and Dolbeault for smooth compactly supported functions in $R^{N}$ with $N \geq 2$ . In this paper, we co…

math.AP2024★ 2 cited

On the equivalence between an Onofri-type inequality by Del Pino-Dolbeault and the sharp logarithmic Moser-Trudinger inequality

Natalino Borgia, Silvia Cingolani, Gabriele Mancini

In this paper we consider the $N$ -dimensional Euclidean Onofri inequality proved by del Pino and Dolbeault for smooth compactly supported functions in $R^{N}$ , $N \geq 2$ . W…

math.AP2024

New analytical and geometrical aspects on Trudinger-Moser type inequality in 2D

Natalino Borgia, Silvia Cingolani, Gabriele Mancini

The present survey is devoted to results on Trudinger-Moser inequalities in two dimension. We give a brief overview of the history of these celebrated inequalities and, starting fr…